MATH 241 -- Multivariable Calculus Lab Day 1 -- September 15, 2010 Lines, Planes, and 3D Plotting with Maple The main goal of today's lab is to start to get familiar with Maple 3D plotting by looking at plotting planes and lines. Let's start with an example that is similar to some of the problems on this week's problem set. There is exactly one plane in LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRj4vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGWEZDRj4=containing the points P = (3/4,0,0), Q = (0,1/3,0), and R = (0,0,1/2). Let's write down the equation of that plane and then see what it looks like. Recall that to get the equation of the plane we need a point on the plane and a vector N orthogonal to the plane. We have points -- three of them in fact. Any one of them can be used as the point we know. Let's take P = (3/4,0,0). To get the vector N, we can use what we have seen like this: The vectors Q - P = (-3/4,1/3,0) and R - P = (-3/4,0,1/2) should be in our plane. To get N, we can take the cross product (Q - P) \303\227 (R - P) = (-3/4,1/3,0) \303\227 (-3/4,0,1/2) = (1/6, 3/8,1/4), since we know that that vector will be orthogonal (perpendicular) to both Q - P and R - P. Then our plane will be given by the equation: N\302\267(x - 3/4, y - 0, z - 0) = 0, or (1/6,3/8,1/4) \302\267 (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSomdW1pbnVzMDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GU0Y1Rjk=3/4, y - 0, z - 0) = 0 By the definition of the dot product, this is the same as LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY2LUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2Jy1GLzYkUSI2RidGMi8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnL0YzUSdpdGFsaWNGJy8lLmxpbmV0aGlja25lc3NHRjEvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR0Y/LUkobWZlbmNlZEdGJDYkLUYjNiktSSNtaUdGJDYlUSJ4RidGOkZDLUkjbW9HRiQ2LVEifkYnRjIvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zlby1GWDYtUSomdW1pbnVzMDtGJ0YyRmVuRmduRmluRltvRl1vRl9vRmFvL0Zkb1EsMC4yMjIyMjIyZW1GJy9GZ29GXHBGVy1GLDYoLUYvNiRRIjNGJ0YyLUYjNictRi82JFEiNEYnRjJGOkY9RkBGQ0ZFRkdGSkZMRj1GMkYyRlctRlg2LVEiK0YnRjJGZW5GZ25GaW5GW29GXW9GX29GYW9GW3BGXXBGVy1GLDYoRmBwLUYjNictRi82JFEiOEYnRjJGOkY9RkBGQ0ZFRkdGSkZMLUZYNi1RJyZzZG90O0YnRjJGZW5GZ25GaW5GW29GXW9GX29GYW9GY29GZm8tRlQ2JVEieUYnRjpGQ0ZXRmhwLUYsNihGLkZjcEZFRkdGSkZMRmJxLUZUNiVRInpGJ0Y6RkNGVy1GWDYtUSI9RidGMkZlbkZnbkZpbkZbb0Zdb0Zfb0Zhby9GZG9RLDAuMjc3Nzc3OGVtRicvRmdvRmFyRlctRi82JFEiMEYnRjJGV0Y9RjI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

Clearing denominators (multiplying by 24), we have 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 (Take a moment and check that the coordinates of the points P, Q, R actually do satisfy this equation.) The command we need to plot this plane in Maple is in the plots package. You load that with the following command. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJnBsb3RzRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkAtSSNtb0dGJDYtUSI6RidGQC8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlZGPUZA (With the cursor on the line above, press the Return key to execute the command.) Then the following command will plot the portion of the plane we want that lies inside the box 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 with equal distance scales along the three axes. print(); # input placeholder QyQtSS9pbXBsaWNpdHBsb3QzZEc2IjYoLywqSSJ4R0YlIiIlSSJ5R0YlIiIqSSJ6R0YlIiInISIkIiIiIiIhL0YpOyEiIkYwL0YrRjMvRi1GMy9JJWF4ZXNHRiVJJ25vcm1hbEclKnByb3RlY3RlZEcvSShzY2FsaW5nR0YlSSxjb25zdHJhaW5lZEdGJUYw

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

-%'PLOT3DG6(-%)POLYGONSG6ft7%7%$!1yxxxxxxx!#;$"206666666"!#<$"1>&=&=&=&=&)!#;7%$!1)***************!#;$"206666666"!#<$"1****************!#;7%$!1zxxxxxxx!#;$"2vdM7!zcM7!#=$"1****************!#;7%7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7'7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%$!#5!""$"2ELLLLLLL$!#<$"1nmmmmmmm!#;7%$!#5!""$"2Of#f#f#f#f#!#<$"1xxxxxxxx!#;7'7%$!1zxxxxxxx!#;$"206666666"!#<$"0_=&=&=&=&)!#:7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!#5!""$"2Of#f#f#f#f#!#<$"1xxxxxxxx!#;7%$!#5!""$"2:6666666"!#<$"1****************!#;7%$!1)***************!#;$"206666666"!#<$"1****************!#;7%7%$!1yxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%$!1zxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7(7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7%$!1yxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%$!#5!""$"1bbbbbbbb!#;$"1NLLLLLLL!#;7%$!#5!""$"2W2uS2uS2%!#<$"1bbbbbbbb!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%7%$!#5!""$"2ELLLLLLL$!#<$"1nmmmmmmm!#;7%$!#5!""$"2W2uS2uS2%!#<$"1bbbbbbbb!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7'7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%$!#5!""$"1xxxxxxxx!#;$"2[tPp`M`m"!#K7%$!#5!""$"1Qq.Pq.Pq!#;$"206666666"!#<7'7%$!1zxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!#5!""$"1Qq.Pq.Pq!#;$"206666666"!#<7%$!#5!""$"1dbbbbbbb!#;$"2ELLLLLLL$!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%7%$!#5!""$"1bbbbbbbb!#;$"1NLLLLLLL!#;7%$!#5!""$"1dbbbbbbb!#;$"2ELLLLLLL$!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%7%$!1xxxxxxxx!#;$"1)***************!#;$!2B"["["["["[!#<7%$!1)***************!#;$"1****************!#;$!2PLLLLLLL$!#<7%$!1zxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7(7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%$!1yxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7%$!1)***************!#;$"1****************!#;$!2PLLLLLLL$!#<7%$!#5!""$"1****************!#;$!1KLLLLLLL!#;7%$!#5!""$"1>&=&=&=&=&)!#;$!2;6666666"!#<7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%7%$!#5!""$"1xxxxxxxx!#;$"2[tPp`M`m"!#K7%$!#5!""$"1>&=&=&=&=&)!#;$!2;6666666"!#<7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7'7%$!1cbbbbbbb!#;$!1p>k3`(>k)!#<$"1****************!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%$!1zxxxxxxx!#;$"206666666"!#<$"0_=&=&=&=&)!#:7%$!1zxxxxxxx!#;$"2vdM7!zcM7!#=$"1****************!#;7&7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7'7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%7%$!1zxxxxxxx!#;$"206666666"!#<$"0_=&=&=&=&)!#:7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"2Os.Pq.Pq$!#=7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%$!1cbbbbbbb!#;$"0th]RG<1&!#:$"206666666"!#<7'7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1cbbbbbbb!#;$"1H<1&RG<1&!#;$"206666666"!#<7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%$!1zxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1zxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7&7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1yxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7&7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7'7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"1APq.Pq.P!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%7%$!1zxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%7%$!1cbbbbbbb!#;$"1****************!#;$!1&H'H'H'H'H'!#;7%$!1jmmmmmmm!#;$"1)***************!#;$!1cbbbbbbb!#;7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7'7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7%$!1jmmmmmmm!#;$"1)***************!#;$!1cbbbbbbb!#;7%$!1zxxxxxxx!#;$"1****************!#;$!18["["["["[!#;7%$!1zxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7&7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1yxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!1(*************\!#;$!2:6666666"!#<$"1)***************!#;7%$!2PLLLLLLL$!#<$!1^=&=&=&=&=!#;$"1****************!#;7&7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7'7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7%$!1cbbbbbbb!#;$!1p>k3`(>k)!#<$"1****************!#;7%$!1(*************\!#;$!2:6666666"!#<$"1)***************!#;7%7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%$!2PLLLLLLL$!#<$"2Of#f#f#f#f#!#<$"2ELLLLLLL$!#<7'7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!2PLLLLLLL$!#<$"1$f#f#f#f#f#!#;$"2ELLLLLLL$!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7&7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7&7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"2Os.Pq.Pq$!#=7%$!1cbbbbbbb!#;$"0th]RG<1&!#:$"206666666"!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7'7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7%$!1cbbbbbbb!#;$"0th]RG<1&!#:$"206666666"!#<7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1VWWWWWWW!#;7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7'7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7&7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"1APq.Pq.P!#<7&7%$!2PLLLLLLL$!#<$"1****************!#;$!1wxxxxxxx!#;7%$!1cbbbbbbb!#;$"1****************!#;$!1&H'H'H'H'H'!#;7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7'7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1WWWWWWWW!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7'7%$!2;6666666"!#<$!2b]RG<1&RG!#<$"1****************!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!2PLLLLLLL$!#<$!1^=&=&=&=&=!#;$"1****************!#;7%7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%$!2;6666666"!#<$"2vdM7!zcM7!#=$"1bbbbbbbb!#;7(7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7%$!2;6666666"!#<$"2#yXB,zcM7!#=$"1bbbbbbbb!#;7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7'7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!2PLLLLLLL$!#<$"2Of#f#f#f#f#!#<$"2ELLLLLLL$!#<7'7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$!2PLLLLLLL$!#<$"2Of#f#f#f#f#!#<$"2ELLLLLLL$!#<7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%7%$!2;6666666"!#<$"1bbbbbbbb!#;$!1"f#f#f#f#f#!#;7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7(7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7'7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1WWWWWWWW!#;7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7'7%$!2;6666666"!#<$"1bbbbbbbb!#;$!28f#f#f#f#f#!#<7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%7%$!2;6666666"!#<$"1)***************!#;$!1c#f#f#f#f#*!#;7%$!1HLLLLLLL!#;$"1****************!#;$!1yxxxxxxx!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7(7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7%$!1HLLLLLLL!#;$"1****************!#;$!1yxxxxxxx!#;7%$!2PLLLLLLL$!#<$"1****************!#;$!1wxxxxxxx!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1WWWWWWWW!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7%$"1O5kRaL9H!#J$!2PLLLLLLL$!#<$"1)***************!#;7%$"206666666"!#<$!0;FQ\gr#Q!#:$"1****************!#;7&7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7'7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7%$!2;6666666"!#<$!2b]RG<1&RG!#<$"1****************!#;7%$"1O5kRaL9H!#J$!2PLLLLLLL$!#<$"1)***************!#;7%7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7'7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2;6666666"!#<$"2vdM7!zcM7!#=$"1bbbbbbbb!#;7&7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$!2;6666666"!#<$"2#yXB,zcM7!#=$"1bbbbbbbb!#;7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7&7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7'7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%7%$"2/6666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7'7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7%$!2;6666666"!#<$"1bbbbbbbb!#;$!28f#f#f#f#f#!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7&7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7&7%$"206666666"!#<$"1xxxxxxxx!#;$!1/uS2uS2u!#;7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7'7%$"206666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7%7%$!2;6666666"!#<$"1bbbbbbbb!#;$!28f#f#f#f#f#!#<7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7'7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$"206666666"!#<$"1th]RG<1&*!#;$!#5!""7%$"1[!)='e!y&)Q!#J$"1)***************!#;$!#5!""7%$!2;6666666"!#<$"1****************!#;$!1c#f#f#f#f#*!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7&7%$"206666666"!#<$"1xxxxxxxx!#;$!10uS2uS2u!#;7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7&7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7%$"206666666"!#<$!0;FQ\gr#Q!#:$"1****************!#;7%$"2ELLLLLLL$!#<$!19["["["["[!#;$"1)***************!#;7%7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%$"2ELLLLLLL$!#<$!1^=&=&=&=&=!#;$"1cbbbbbbb!#;7'7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"2ELLLLLLL$!#<$!21&=&=&=&=&=!#<$"1bbbbbbbb!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7&7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7&7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7'7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%$"2ELLLLLLL$!#<$"2Of#f#f#f#f#!#<$!2<6666666"!#<7'7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"2ELLLLLLL$!#<$"1$f#f#f#f#f#!#;$!2;6666666"!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7&7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7&7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2/6666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7'7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7'7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%$"206666666"!#<$"1xxxxxxxx!#;$!10uS2uS2u!#;7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7&7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7%$"206666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7'7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"2ELLLLLLL$!#<$"1>&=&=&=&=&)!#;$!#5!""7%$"206666666"!#<$"1th]RG<1&*!#;$!#5!""7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%7%$"206666666"!#<$"1xxxxxxxx!#;$!10uS2uS2u!#;7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7%$"1.++++++]!#;$!1cbbbbbbb!#;$"1****************!#;7%$"1bbbbbbbb!#;$!1nC!e8pC!e!#;$"1****************!#;7%7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7(7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$!19["["["["[!#;$"1)***************!#;7%$"1.++++++]!#;$!1cbbbbbbb!#;$"1****************!#;7%7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7'7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2ELLLLLLL$!#<$!1^=&=&=&=&=!#;$"1cbbbbbbb!#;7'7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"2ELLLLLLL$!#<$!1^=&=&=&=&=!#;$"1cbbbbbbb!#;7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%7%$"1bbbbbbbb!#;$"206666666"!#<$!1)o.Pq.Pq$!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%$"1bbbbbbbb!#;$"2vdM7!zcM7!#=$"206666666"!#<7(7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7%$"1bbbbbbbb!#;$"2#yXB,zcM7!#=$"206666666"!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!2Cq.Pq.Pq$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7%$"1bbbbbbbb!#;$"2'>k3`(>k3$!#<$!2PLLLLLLL$!#<7'7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"1bbbbbbbb!#;$"0U'3`(>k3$!#:$!2PLLLLLLL$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2ELLLLLLL$!#<$"2Of#f#f#f#f#!#<$!2<6666666"!#<7'7%$"1bbbbbbbb!#;$"206666666"!#<$!0p.Pq.Pq$!#;7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"2ELLLLLLL$!#<$"2Of#f#f#f#f#!#<$!2<6666666"!#<7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Oq.Pq.Pq!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7(7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!1.Pq.Pq.P!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7%7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7'7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"1bbbbbbbb!#;$"1k3`(>k3`(!#;$!#5!""7%$"1,++++++]!#;$"1xxxxxxxx!#;$!#5!""7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7'7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Nq.Pq.Pq!#;7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"2ELLLLLLL$!#<$"1>&=&=&=&=&)!#;$!#5!""7%$"1,++++++]!#;$"1xxxxxxxx!#;$!#5!""7&7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7%$"1bbbbbbbb!#;$!1nC!e8pC!e!#;$"1****************!#;7%$"1xxxxxxxx!#;$!1B,zcM7!z'!#;$"1)***************!#;7%7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7'7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7&7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7&7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7'7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%7%$"1xxxxxxxx!#;$"206666666"!#<$!2)\=&=&=&=&=!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%$"1yxxxxxxx!#;$"0&G<1&RG<'!#;$!2;6666666"!#<7'7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1xxxxxxxx!#;$"1^G<1&RG<'!#<$!2;6666666"!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%$"1bbbbbbbb!#;$"206666666"!#<$!0p.Pq.Pq$!#;7%$"1bbbbbbbb!#;$"2vdM7!zcM7!#=$"206666666"!#<7&7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1bbbbbbbb!#;$"2#yXB,zcM7!#=$"206666666"!#<7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7&7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!2Cq.Pq.Pq$!#<7%$"1bbbbbbbb!#;$"2'>k3`(>k3$!#<$!2PLLLLLLL$!#<7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7'7%$"1xxxxxxxx!#;$"206666666"!#<$!0&=&=&=&=&=!#:7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7%$"1bbbbbbbb!#;$"2'>k3`(>k3$!#<$!2PLLLLLLL$!#<7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%7%$"1bbbbbbbb!#;$"206666666"!#<$!0p.Pq.Pq$!#;7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%7%$"1xxxxxxxx!#;$"1cbbbbbbb!#;$!1>&=&=&=&=&)!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7'7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Nq.Pq.Pq!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7&7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!1.Pq.Pq.P!#;7'7%$"1xxxxxxxx!#;$"1bbbbbbbb!#;$!1<&=&=&=&=&)!#;7%$"1xxxxxxxx!#;$"14Kaw)4Ka'!#;$!#5!""7%$"1bbbbbbbb!#;$"1k3`(>k3`(!#;$!#5!""7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Nq.Pq.Pq!#;7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%7%$"1)***************!#;$!1cbbbbbbb!#;$"1nmmmmmmm!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%$"1****************!#;$!1&H'H'H'H'H'!#;$"1xxxxxxxx!#;7'7%$"1****************!#;$!1xxxxxxxx!#;$"1****************!#;7%$"1)***************!#;$!1&H'H'H'H'H'!#;$"1xxxxxxxx!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1xxxxxxxx!#;$!1B,zcM7!z'!#;$"1)***************!#;7&7%$"1****************!#;$!2PLLLLLLL$!#<$"1NLLLLLLL!#;7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7%$"1)***************!#;$!19["["["["[!#;$"1bbbbbbbb!#;7'7%$"1)***************!#;$!1cbbbbbbb!#;$"1nmmmmmmm!#;7%$"1)***************!#;$!19["["["["[!#;$"1bbbbbbbb!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%7%$"1)***************!#;$!2;6666666"!#<$"2[tPp`M`m"!#K7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%$"1****************!#;$!1^=&=&=&=&=!#;$"206666666"!#<7'7%$"1****************!#;$!1KLLLLLLL!#;$"2ELLLLLLL$!#<7%$"1)***************!#;$!1^=&=&=&=&=!#;$"206666666"!#<7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7&7%$"1****************!#;$!2PLLLLLLL$!#<$"1NLLLLLLL!#;7%$"1****************!#;$!1KLLLLLLL!#;$"2ELLLLLLL$!#<7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7&7%$"1****************!#;$"206666666"!#<$!1KLLLLLLL!#;7%$"1xxxxxxxx!#;$"206666666"!#<$!2)\=&=&=&=&=!#<7%$"1yxxxxxxx!#;$"0&G<1&RG<'!#;$!2;6666666"!#<7%$"1)***************!#;$!1'p.Pq.Pq$!#<$!2;6666666"!#<7'7%$"1)***************!#;$!2;6666666"!#<$"2[tPp`M`m"!#K7%$"1)***************!#;$!1'p.Pq.Pq$!#<$!2;6666666"!#<7%$"1yxxxxxxx!#;$"0&G<1&RG<'!#;$!2;6666666"!#<7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%7%$"1****************!#;$"2ELLLLLLL$!#<$!1lmmmmmmm!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7%$"1)***************!#;$"1$f#f#f#f#f#!#;$!1cbbbbbbb!#;7'7%$"1****************!#;$"2:6666666"!#<$!2PLLLLLLL$!#<7%$"1)***************!#;$"1$f#f#f#f#f#!#;$!1cbbbbbbb!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7&7%$"1****************!#;$"206666666"!#<$!1KLLLLLLL!#;7%$"1****************!#;$"2:6666666"!#<$!2PLLLLLLL$!#<7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7%$"1xxxxxxxx!#;$"206666666"!#<$!0&=&=&=&=&=!#:7&7%$"1****************!#;$"1bbbbbbbb!#;$!1(***************!#;7%$"1xxxxxxxx!#;$"1cbbbbbbb!#;$!1>&=&=&=&=&)!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7%$"1)***************!#;$"2W2uS2uS2%!#<$!1xxxxxxxx!#;7'7%$"1)***************!#;$"2ELLLLLLL$!#<$!1lmmmmmmm!#;7%$"1)***************!#;$"1vS2uS2uS!#;$!1yxxxxxxx!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7%7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7&7%$"1****************!#;$"1bbbbbbbb!#;$!1(***************!#;7%$"1****************!#;$"1dbbbbbbb!#;$!#5!""7%$"1xxxxxxxx!#;$"14Kaw)4Ka'!#;$!#5!""7%$"1xxxxxxxx!#;$"1bbbbbbbb!#;$!1<&=&=&=&=&)!#;-%+AXESLABELSG6%Q"x6"Q"y6"Q"z6"-%+PROJECTIONG6,$!2:6:>On"QG!#=$!1DM2Lv]Q))!#;$!1)onSAt!pY!#;$"2Y6Z=;"4Q6!#<$!1=u><Z;pY!#;$"1*Q)4#="[p()!#;$!1lm&*R*f4$**!#;$!2'>&o&*oN\#G!#=$"2Bvh![6UQ6!#<$"#5!""-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%,CONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$+"!""-%-BOUNDS_WIDTHG6#$"%+R!""-%.BOUNDS_HEIGHTG6#$"%+R!""-%)CHILDRENG6"

Again, press the Return key with the cursor on the command line to execute. Take a few minutes to experiment with rotating the axes and understanding what is going on here. Now say we want to understand how the vector N = (1/6,3/8,1/4) relates to this plane. Let's begin by plotting the line through the origin in the direction of this vector. The command for plotting lines or other curves given in parametric form is called spacecurve. Here is the format for plotting the portion of the line we want for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSI0RidGLy1GLDYtUSYmbGVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZOLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0ZKRkZGLw==, in red and thicker for visibility: QyQtSStzcGFjZWN1cnZlRzYiNic3JiwkSSJ0R0YlIyIiIiIiJy1JIipHJSpwcm90ZWN0ZWRHNiQsJEYpIiIkI0YrIiIpLCRGKSNGKyIiJS9GKTshIilGNC9JJWF4ZXNHRiVJJ25vcm1hbEdGLy9JJmNvbG9yR0YlSSRyZWRHRiUvSSp0aGlja25lc3NHRiUiIiMvSShzY2FsaW5nR0YlSSxjb25zdHJhaW5lZEdGJUYr

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

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

Now say we really want to show the line and the plane together. To combine two different plots, we will use a third command display3d like this. First we redo the plotting commands above, but we assign the results to names like this: QyQ+SSZwbG90QUc2Ii1JL2ltcGxpY2l0cGxvdDNkR0YlNigvLCpJInhHRiUiIiVJInlHRiUiIipJInpHRiUiIichIiQiIiIiIiEvRis7ISIiRjIvRi1GNS9GL0Y1L0klYXhlc0dGJUknbm9ybWFsRyUqcHJvdGVjdGVkRy9JKHNjYWxpbmdHRiVJLGNvbnN0cmFpbmVkR0YlRjY= QyQ+SSZwbG90Qkc2Ii1JK3NwYWNlY3VydmVHRiU2JzcmLCRJInRHRiUjIiIiIiInLUkiKkclKnByb3RlY3RlZEc2JCwkRisiIiQjRi0iIiksJEYrI0YtIiIlL0YrOyEiKUY2L0klYXhlc0dGJUknbm9ybWFsR0YxL0kmY29sb3JHRiVJJHJlZEdGJS9JKnRoaWNrbmVzc0dGJSIiIy9JKHNjYWxpbmdHRiVJLGNvbnN0cmFpbmVkR0YlISIi QyQtSSpkaXNwbGF5M2RHNiI2JEkmcGxvdEFHRiVJJnBsb3RCR0YlIiIi

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

-%'PLOT3DG6)-%)POLYGONSG6ft7%7%$!1yxxxxxxx!#;$"206666666"!#<$"1>&=&=&=&=&)!#;7%$!1)***************!#;$"206666666"!#<$"1****************!#;7%$!1zxxxxxxx!#;$"2vdM7!zcM7!#=$"1****************!#;7%7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7'7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%$!#5!""$"2ELLLLLLL$!#<$"1nmmmmmmm!#;7%$!#5!""$"2Of#f#f#f#f#!#<$"1xxxxxxxx!#;7'7%$!1zxxxxxxx!#;$"206666666"!#<$"0_=&=&=&=&)!#:7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!#5!""$"2Of#f#f#f#f#!#<$"1xxxxxxxx!#;7%$!#5!""$"2:6666666"!#<$"1****************!#;7%$!1)***************!#;$"206666666"!#<$"1****************!#;7%7%$!1yxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%$!1zxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7(7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7%$!1yxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%$!#5!""$"1bbbbbbbb!#;$"1NLLLLLLL!#;7%$!#5!""$"2W2uS2uS2%!#<$"1bbbbbbbb!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%7%$!#5!""$"2ELLLLLLL$!#<$"1nmmmmmmm!#;7%$!#5!""$"2W2uS2uS2%!#<$"1bbbbbbbb!#;7%$!0LLLLLLL)!#:$"2ELLLLLLL$!#<$"1bbbbbbbb!#;7%7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7'7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%$!#5!""$"1xxxxxxxx!#;$"2[tPp`M`m"!#K7%$!#5!""$"1Qq.Pq.Pq!#;$"206666666"!#<7'7%$!1zxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!#5!""$"1Qq.Pq.Pq!#;$"206666666"!#<7%$!#5!""$"1dbbbbbbb!#;$"2ELLLLLLL$!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%7%$!#5!""$"1bbbbbbbb!#;$"1NLLLLLLL!#;7%$!#5!""$"1dbbbbbbb!#;$"2ELLLLLLL$!#<7%$!1'***************!#;$"1abbbbbbb!#;$"2ELLLLLLL$!#<7%7%$!1xxxxxxxx!#;$"1)***************!#;$!2B"["["["["[!#<7%$!1)***************!#;$"1****************!#;$!2PLLLLLLL$!#<7%$!1zxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7(7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%$!1yxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7%$!1)***************!#;$"1****************!#;$!2PLLLLLLL$!#<7%$!#5!""$"1****************!#;$!1KLLLLLLL!#;7%$!#5!""$"1>&=&=&=&=&)!#;$!2;6666666"!#<7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%7%$!#5!""$"1xxxxxxxx!#;$"2[tPp`M`m"!#K7%$!#5!""$"1>&=&=&=&=&)!#;$!2;6666666"!#<7%$!0LLLLLLL)!#:$"1xxxxxxxx!#;$!2;6666666"!#<7%7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7'7%$!1cbbbbbbb!#;$!1p>k3`(>k)!#<$"1****************!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%$!1zxxxxxxx!#;$"206666666"!#<$"0_=&=&=&=&)!#:7%$!1zxxxxxxx!#;$"2vdM7!zcM7!#=$"1****************!#;7&7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7'7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7%$!1yxxxxxxx!#;$"22U'3`(>k3$!#<$"1bbbbbbbb!#;7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%7%$!1zxxxxxxx!#;$"206666666"!#<$"0_=&=&=&=&)!#:7%$!1yxxxxxxx!#;$"2(Q\gr#Q\g"!#<$"1xxxxxxxx!#;7%$!1kmmmmmmm!#;$"206666666"!#<$"1xxxxxxxx!#;7%7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"2Os.Pq.Pq$!#=7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%$!1cbbbbbbb!#;$"0th]RG<1&!#:$"206666666"!#<7'7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1cbbbbbbb!#;$"1H<1&RG<1&!#;$"206666666"!#<7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%$!1zxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1zxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7&7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1yxxxxxxx!#;$"2:!zcM7!zc%!#<$"2ELLLLLLL$!#<7%$!1yxxxxxxx!#;$"2ELLLLLLL$!#<$"1'=&=&=&=&=&!#;7&7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7'7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"1APq.Pq.P!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7%$!1yxxxxxxx!#;$"1k3`(>k3`(!#;$!2;6666666"!#<7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%7%$!1zxxxxxxx!#;$"1bbbbbbbb!#;$"2M&=&=&=&=&=!#<7%$!1yxxxxxxx!#;$"1$Q\gr#Q\g!#;$"206666666"!#<7%$!1jmmmmmmm!#;$"1bbbbbbbb!#;$"206666666"!#<7%7%$!1cbbbbbbb!#;$"1****************!#;$!1&H'H'H'H'H'!#;7%$!1jmmmmmmm!#;$"1)***************!#;$!1cbbbbbbb!#;7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7'7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7%$!1jmmmmmmm!#;$"1)***************!#;$!1cbbbbbbb!#;7%$!1zxxxxxxx!#;$"1****************!#;$!18["["["["[!#;7%$!1zxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7&7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1yxxxxxxx!#;$"1YB,zcM7!*!#;$!2PLLLLLLL$!#<7%$!1yxxxxxxx!#;$"1xxxxxxxx!#;$!0["["["["["!#:7%7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!1(*************\!#;$!2:6666666"!#<$"1)***************!#;7%$!2PLLLLLLL$!#<$!1^=&=&=&=&=!#;$"1****************!#;7&7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7'7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7%$!1cbbbbbbb!#;$"1YG<1&RG<'!#<$"1xxxxxxxx!#;7%$!1cbbbbbbb!#;$!1p>k3`(>k)!#<$"1****************!#;7%$!1(*************\!#;$!2:6666666"!#<$"1)***************!#;7%7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%$!2PLLLLLLL$!#<$"2Of#f#f#f#f#!#<$"2ELLLLLLL$!#<7'7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!2PLLLLLLL$!#<$"1$f#f#f#f#f#!#;$"2ELLLLLLL$!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7&7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!1cbbbbbbb!#;$"2hw)4Kaw)4#!#<$"1bbbbbbbb!#;7%$!1cbbbbbbb!#;$"206666666"!#<$"1Qq.Pq.Pq!#;7&7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"2Os.Pq.Pq$!#=7%$!1cbbbbbbb!#;$"0th]RG<1&!#:$"206666666"!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7'7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7%$!1cbbbbbbb!#;$"0th]RG<1&!#:$"206666666"!#<7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%7%$!1cbbbbbbb!#;$"2ELLLLLLL$!#<$"2Yq.Pq.Pq$!#<7%$!1cbbbbbbb!#;$"1Z-e8pC!e$!#;$"2ELLLLLLL$!#<7%$!1(*************\!#;$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<7%7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1VWWWWWWW!#;7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7'7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7&7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!1cbbbbbbb!#;$"0@Vl()4Ka'!#:$!2;6666666"!#<7%$!1cbbbbbbb!#;$"1bbbbbbbb!#;$"1APq.Pq.P!#<7&7%$!2PLLLLLLL$!#<$"1****************!#;$!1wxxxxxxx!#;7%$!1cbbbbbbb!#;$"1****************!#;$!1&H'H'H'H'H'!#;7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7'7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1WWWWWWWW!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7%$!1cbbbbbbb!#;$"1th]RG<1&*!#;$!1cbbbbbbb!#;7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%7%$!1cbbbbbbb!#;$"1xxxxxxxx!#;$!2<'H'H'H'H'H!#<7%$!1cbbbbbbb!#;$"1"pC!e8pC!)!#;$!2PLLLLLLL$!#<7%$!1)*************\!#;$"1xxxxxxxx!#;$!2PLLLLLLL$!#<7%7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7'7%$!2;6666666"!#<$!2b]RG<1&RG!#<$"1****************!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!2PLLLLLLL$!#<$!1^=&=&=&=&=!#;$"1****************!#;7%7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%$!2;6666666"!#<$"2vdM7!zcM7!#=$"1bbbbbbbb!#;7(7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7%$!2;6666666"!#<$"2#yXB,zcM7!#=$"1bbbbbbbb!#;7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%7%$!2PLLLLLLL$!#<$!2;6666666"!#<$"0*))))))))))))))!#:7%$!2PLLLLLLL$!#<$!1'p.Pq.Pq$!#<$"1xxxxxxxx!#;7%$!1kmmmmmm;!#;$!2;6666666"!#<$"1xxxxxxxx!#;7%7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7'7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!2PLLLLLLL$!#<$"2Of#f#f#f#f#!#<$"2ELLLLLLL$!#<7'7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$!2PLLLLLLL$!#<$"2Of#f#f#f#f#!#<$"2ELLLLLLL$!#<7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%7%$!2PLLLLLLL$!#<$"206666666"!#<$"1dbbbbbbb!#;7%$!2PLLLLLLL$!#<$"176666666!#;$"1bbbbbbbb!#;7%$!2/LLLLLLL$!#<$"206666666"!#<$"1abbbbbbb!#;7%7%$!2;6666666"!#<$"1bbbbbbbb!#;$!1"f#f#f#f#f#!#;7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7(7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%7%$!2PLLLLLLL$!#<$"2ELLLLLLL$!#<$"2QAAAAAAA#!#<7%$!2PLLLLLLL$!#<$"2W2uS2uS2%!#<$"206666666"!#<7%$!1jmmmmmm;!#;$"2ELLLLLLL$!#<$"206666666"!#<7%7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7'7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1WWWWWWWW!#;7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7'7%$!2;6666666"!#<$"1bbbbbbbb!#;$!28f#f#f#f#f#!#<7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$!2PLLLLLLL$!#<$"1Pq.Pq.Pq!#;$!2PLLLLLLL$!#<7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%7%$!2PLLLLLLL$!#<$"1bbbbbbbb!#;$!2%46666666!#<7%$!2PLLLLLLL$!#<$"1dbbbbbbb!#;$!2;6666666"!#<7%$!2/LLLLLLL$!#<$"1abbbbbbb!#;$!2;6666666"!#<7%7%$!2;6666666"!#<$"1)***************!#;$!1c#f#f#f#f#*!#;7%$!1HLLLLLLL!#;$"1****************!#;$!1yxxxxxxx!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7(7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7%$!1HLLLLLLL!#;$"1****************!#;$!1yxxxxxxx!#;7%$!2PLLLLLLL$!#<$"1****************!#;$!1wxxxxxxx!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%7%$!2PLLLLLLL$!#<$"1xxxxxxxx!#;$!1WWWWWWWW!#;7%$!2PLLLLLLL$!#<$"1>&=&=&=&=&)!#;$!1cbbbbbbb!#;7%$!2Ymmmmmmm"!#<$"1xxxxxxxx!#;$!1cbbbbbbb!#;7%7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7%$"1O5kRaL9H!#J$!2PLLLLLLL$!#<$"1)***************!#;7%$"206666666"!#<$!0;FQ\gr#Q!#:$"1****************!#;7&7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7'7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7%$!2;6666666"!#<$!2Q-e8pC!e8!#<$"1xxxxxxxx!#;7%$!2;6666666"!#<$!2b]RG<1&RG!#<$"1****************!#;7%$"1O5kRaL9H!#J$!2PLLLLLLL$!#<$"1)***************!#;7%7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7'7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2;6666666"!#<$"2vdM7!zcM7!#=$"1bbbbbbbb!#;7&7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$!2;6666666"!#<$"2#yXB,zcM7!#=$"1bbbbbbbb!#;7%$!2;6666666"!#<$!2;6666666"!#<$"14uS2uS2u!#;7&7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7'7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7%$!2;6666666"!#<$"22U'3`(>k3$!#<$"206666666"!#<7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%7%$!2;6666666"!#<$"206666666"!#<$"2b2uS2uS2%!#<7%$!2;6666666"!#<$"2$R\gr#Q\g"!#<$"2ELLLLLLL$!#<7%$"18.D\gW?A!#J$"206666666"!#<$"2ELLLLLLL$!#<7%7%$"2/6666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7'7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7%$!2;6666666"!#<$"1bbbbbbbb!#;$!28f#f#f#f#f#!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7&7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$!2;6666666"!#<$"2:!zcM7!zc%!#<$!2;6666666"!#<7%$!2;6666666"!#<$"2ELLLLLLL$!#<$"1HuS2uS2u!#<7&7%$"206666666"!#<$"1xxxxxxxx!#;$!1/uS2uS2u!#;7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7'7%$"206666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7%$!2;6666666"!#<$"1k3`(>k3`(!#;$!1cbbbbbbb!#;7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7%7%$!2;6666666"!#<$"1bbbbbbbb!#;$!28f#f#f#f#f#!#<7%$!2;6666666"!#<$"1$Q\gr#Q\g!#;$!2PLLLLLLL$!#<7%$"2[tPp`M`m"!#K$"1bbbbbbbb!#;$!2PLLLLLLL$!#<7'7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$"206666666"!#<$"1th]RG<1&*!#;$!#5!""7%$"1[!)='e!y&)Q!#J$"1)***************!#;$!#5!""7%$!2;6666666"!#<$"1****************!#;$!1c#f#f#f#f#*!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7&7%$"206666666"!#<$"1xxxxxxxx!#;$!10uS2uS2u!#;7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$!2;6666666"!#<$"1YB,zcM7!*!#;$!1yxxxxxxx!#;7%$!2;6666666"!#<$"1xxxxxxxx!#;$!1Cf#f#f#f#f!#;7&7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7%$"206666666"!#<$!0;FQ\gr#Q!#:$"1****************!#;7%$"2ELLLLLLL$!#<$!19["["["["[!#;$"1)***************!#;7%7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%$"2ELLLLLLL$!#<$!1^=&=&=&=&=!#;$"1cbbbbbbb!#;7'7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"2ELLLLLLL$!#<$!21&=&=&=&=&=!#<$"1bbbbbbbb!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7&7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"206666666"!#<$!2ynXB,zcM#!#<$"1xxxxxxxx!#;7%$"206666666"!#<$!2PLLLLLLL$!#<$"0Ef#f#f#f#*!#:7&7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7'7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7%$"206666666"!#<$"1YG<1&RG<'!#<$"2ELLLLLLL$!#<7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%7%$"206666666"!#<$!2;6666666"!#<$"1Ff#f#f#f#f!#;7%$"206666666"!#<$!1p>k3`(>k)!#<$"1bbbbbbbb!#;7%$"2)ommmmmm;!#<$!2:6666666"!#<$"1bbbbbbbb!#;7%7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%$"2ELLLLLLL$!#<$"2Of#f#f#f#f#!#<$!2<6666666"!#<7'7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"2ELLLLLLL$!#<$"1$f#f#f#f#f#!#;$!2;6666666"!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7&7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"206666666"!#<$"2hw)4Kaw)4#!#<$"206666666"!#<7%$"206666666"!#<$"206666666"!#<$"1%f#f#f#f#f#!#;7&7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2/6666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7'7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7%$"206666666"!#<$"1H<1&RG<1&!#;$!2PLLLLLLL$!#<7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%7%$"206666666"!#<$"2ELLLLLLL$!#<$!1'R2uS2uS(!#<7%$"206666666"!#<$"1Z-e8pC!e$!#;$!2;6666666"!#<7%$"2)ommmmmm;!#<$"2ELLLLLLL$!#<$!2:6666666"!#<7%7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7'7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%$"206666666"!#<$"1xxxxxxxx!#;$!10uS2uS2u!#;7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7&7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"206666666"!#<$"0@Vl()4Ka'!#:$!1cbbbbbbb!#;7%$"206666666"!#<$"1bbbbbbbb!#;$!2L2uS2uS2%!#<7'7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"2ELLLLLLL$!#<$"1>&=&=&=&=&)!#;$!#5!""7%$"206666666"!#<$"1th]RG<1&*!#;$!#5!""7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%7%$"206666666"!#<$"1xxxxxxxx!#;$!10uS2uS2u!#;7%$"206666666"!#<$"1$pC!e8pC!)!#;$!1yxxxxxxx!#;7%$"20nmmmmmm"!#<$"1xxxxxxxx!#;$!1yxxxxxxx!#;7%7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7%$"1.++++++]!#;$!1cbbbbbbb!#;$"1****************!#;7%$"1bbbbbbbb!#;$!1nC!e8pC!e!#;$"1****************!#;7%7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7(7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$!19["["["["[!#;$"1)***************!#;7%$"1.++++++]!#;$!1cbbbbbbb!#;$"1****************!#;7%7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7'7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2ELLLLLLL$!#<$!1^=&=&=&=&=!#;$"1cbbbbbbb!#;7'7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"2ELLLLLLL$!#<$!1^=&=&=&=&=!#;$"1cbbbbbbb!#;7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%7%$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<$"1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$!1KLLLLLLL!#;$"1xxxxxxxx!#;7%$"1OLLLLLLL!#;$!2PLLLLLLL$!#<$"1wxxxxxxx!#;7%7%$"1bbbbbbbb!#;$"206666666"!#<$!1)o.Pq.Pq$!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%$"1bbbbbbbb!#;$"2vdM7!zcM7!#=$"206666666"!#<7(7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7%$"1bbbbbbbb!#;$"2#yXB,zcM7!#=$"206666666"!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%7%$"2ELLLLLLL$!#<$!2;6666666"!#<$"1YWWWWWWW!#;7%$"2ELLLLLLL$!#<$!1'p.Pq.Pq$!#<$"2ELLLLLLL$!#<7%$"1-++++++]!#;$!2;6666666"!#<$"2ELLLLLLL$!#<7%7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!2Cq.Pq.Pq$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7%$"1bbbbbbbb!#;$"2'>k3`(>k3$!#<$!2PLLLLLLL$!#<7'7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"1bbbbbbbb!#;$"0U'3`(>k3$!#:$!2PLLLLLLL$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2ELLLLLLL$!#<$"2Of#f#f#f#f#!#<$!2<6666666"!#<7'7%$"1bbbbbbbb!#;$"206666666"!#<$!0p.Pq.Pq$!#;7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"2ELLLLLLL$!#<$"2Of#f#f#f#f#!#<$!2<6666666"!#<7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%7%$"2ELLLLLLL$!#<$"206666666"!#<$"176666666!#;7%$"2ELLLLLLL$!#<$"2:6666666"!#<$"206666666"!#<7%$"1NLLLLLLL!#;$"206666666"!#<$"206666666"!#<7%7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Oq.Pq.Pq!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7(7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!1.Pq.Pq.P!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7%7%$"2ELLLLLLL$!#<$"2ELLLLLLL$!#<$!2/AAAAAAA#!#<7%$"2ELLLLLLL$!#<$"2W2uS2uS2%!#<$!2PLLLLLLL$!#<7%$"1,++++++]!#;$"2ELLLLLLL$!#<$!2PLLLLLLL$!#<7'7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"1bbbbbbbb!#;$"1k3`(>k3`(!#;$!#5!""7%$"1,++++++]!#;$"1xxxxxxxx!#;$!#5!""7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7'7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Nq.Pq.Pq!#;7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"2ELLLLLLL$!#<$"1Qq.Pq.Pq!#;$!1zxxxxxxx!#;7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%7%$"2ELLLLLLL$!#<$"1bbbbbbbb!#;$!1abbbbbbb!#;7%$"2ELLLLLLL$!#<$"1dbbbbbbb!#;$!1cbbbbbbb!#;7%$"1OLLLLLLL!#;$"1bbbbbbbb!#;$!1cbbbbbbb!#;7%7%$"2ELLLLLLL$!#<$"1xxxxxxxx!#;$!1')))))))))))))))!#;7%$"2ELLLLLLL$!#<$"1>&=&=&=&=&)!#;$!#5!""7%$"1,++++++]!#;$"1xxxxxxxx!#;$!#5!""7&7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7%$"1bbbbbbbb!#;$!1nC!e8pC!e!#;$"1****************!#;7%$"1xxxxxxxx!#;$!1B,zcM7!z'!#;$"1)***************!#;7%7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7'7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7&7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1bbbbbbbb!#;$!2j)4Kaw)4K%!#<$"1xxxxxxxx!#;7%$"1bbbbbbbb!#;$!1cbbbbbbb!#;$"1J'H'H'H'H'*!#;7&7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7'7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7%$"1bbbbbbbb!#;$!2Q-e8pC!e8!#<$"2ELLLLLLL$!#<7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%7%$"1bbbbbbbb!#;$!2PLLLLLLL$!#<$"1)H'H'H'H'H'!#;7%$"1bbbbbbbb!#;$!2b]RG<1&RG!#<$"1bbbbbbbb!#;7%$"1pmmmmmmm!#;$!2PLLLLLLL$!#<$"1bbbbbbbb!#;7%7%$"1xxxxxxxx!#;$"206666666"!#<$!2)\=&=&=&=&=!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%$"1yxxxxxxx!#;$"0&G<1&RG<'!#;$!2;6666666"!#<7'7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1xxxxxxxx!#;$"1^G<1&RG<'!#<$!2;6666666"!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%$"1bbbbbbbb!#;$"206666666"!#<$!0p.Pq.Pq$!#;7%$"1bbbbbbbb!#;$"2vdM7!zcM7!#=$"206666666"!#<7&7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1bbbbbbbb!#;$"2#yXB,zcM7!#=$"206666666"!#<7%$"1bbbbbbbb!#;$!2;6666666"!#<$"1kH'H'H'H'H!#;7&7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!2Cq.Pq.Pq$!#<7%$"1bbbbbbbb!#;$"2'>k3`(>k3$!#<$!2PLLLLLLL$!#<7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7'7%$"1xxxxxxxx!#;$"206666666"!#<$!0&=&=&=&=&=!#:7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7%$"1bbbbbbbb!#;$"2'>k3`(>k3$!#<$!2PLLLLLLL$!#<7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%7%$"1bbbbbbbb!#;$"206666666"!#<$!0p.Pq.Pq$!#;7%$"1bbbbbbbb!#;$"2(Q\gr#Q\g"!#<$!2;6666666"!#<7%$"0nmmmmmm'!#:$"206666666"!#<$!2;6666666"!#<7%7%$"1xxxxxxxx!#;$"1cbbbbbbb!#;$!1>&=&=&=&=&)!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7'7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Nq.Pq.Pq!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7&7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1bbbbbbbb!#;$"2:!zcM7!zc%!#<$!1cbbbbbbb!#;7%$"1bbbbbbbb!#;$"2ELLLLLLL$!#<$!1.Pq.Pq.P!#;7'7%$"1xxxxxxxx!#;$"1bbbbbbbb!#;$!1<&=&=&=&=&)!#;7%$"1xxxxxxxx!#;$"14Kaw)4Ka'!#;$!#5!""7%$"1bbbbbbbb!#;$"1k3`(>k3`(!#;$!#5!""7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%7%$"1bbbbbbbb!#;$"1bbbbbbbb!#;$!1Nq.Pq.Pq!#;7%$"1bbbbbbbb!#;$"1$Q\gr#Q\g!#;$!1yxxxxxxx!#;7%$"1nmmmmmmm!#;$"1bbbbbbbb!#;$!1yxxxxxxx!#;7%7%$"1)***************!#;$!1cbbbbbbb!#;$"1nmmmmmmm!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%$"1****************!#;$!1&H'H'H'H'H'!#;$"1xxxxxxxx!#;7'7%$"1****************!#;$!1xxxxxxxx!#;$"1****************!#;7%$"1)***************!#;$!1&H'H'H'H'H'!#;$"1xxxxxxxx!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1xxxxxxxx!#;$!1B,zcM7!z'!#;$"1)***************!#;7&7%$"1****************!#;$!2PLLLLLLL$!#<$"1NLLLLLLL!#;7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7%$"1)***************!#;$!19["["["["[!#;$"1bbbbbbbb!#;7'7%$"1)***************!#;$!1cbbbbbbb!#;$"1nmmmmmmm!#;7%$"1)***************!#;$!19["["["["[!#;$"1bbbbbbbb!#;7%$"1xxxxxxxx!#;$!0;FQ\gr#Q!#:$"1bbbbbbbb!#;7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%7%$"1xxxxxxxx!#;$!1cbbbbbbb!#;$"1\"["["["[")!#;7%$"1xxxxxxxx!#;$!1T'3`(>k3`!#;$"1xxxxxxxx!#;7%$"1NLLLLLL$)!#;$!1cbbbbbbb!#;$"1xxxxxxxx!#;7%7%$"1)***************!#;$!2;6666666"!#<$"2[tPp`M`m"!#K7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%$"1****************!#;$!1^=&=&=&=&=!#;$"206666666"!#<7'7%$"1****************!#;$!1KLLLLLLL!#;$"2ELLLLLLL$!#<7%$"1)***************!#;$!1^=&=&=&=&=!#;$"206666666"!#<7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7&7%$"1****************!#;$!2PLLLLLLL$!#<$"1NLLLLLLL!#;7%$"1****************!#;$!1KLLLLLLL!#;$"2ELLLLLLL$!#<7%$"1xxxxxxxx!#;$!2ynXB,zcM#!#<$"2ELLLLLLL$!#<7%$"1xxxxxxxx!#;$!2PLLLLLLL$!#<$"1;["["["["[!#;7&7%$"1****************!#;$"206666666"!#<$!1KLLLLLLL!#;7%$"1xxxxxxxx!#;$"206666666"!#<$!2)\=&=&=&=&=!#<7%$"1yxxxxxxx!#;$"0&G<1&RG<'!#;$!2;6666666"!#<7%$"1)***************!#;$!1'p.Pq.Pq$!#<$!2;6666666"!#<7'7%$"1)***************!#;$!2;6666666"!#<$"2[tPp`M`m"!#K7%$"1)***************!#;$!1'p.Pq.Pq$!#<$!2;6666666"!#<7%$"1yxxxxxxx!#;$"0&G<1&RG<'!#;$!2;6666666"!#<7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%7%$"1xxxxxxxx!#;$!2;6666666"!#<$"2D["["["["["!#<7%$"1xxxxxxxx!#;$!1p>k3`(>k)!#<$"206666666"!#<7%$"1NLLLLLL$)!#;$!2:6666666"!#<$"2/6666666"!#<7%7%$"1****************!#;$"2ELLLLLLL$!#<$!1lmmmmmmm!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7%$"1)***************!#;$"1$f#f#f#f#f#!#;$!1cbbbbbbb!#;7'7%$"1****************!#;$"2:6666666"!#<$!2PLLLLLLL$!#<7%$"1)***************!#;$"1$f#f#f#f#f#!#;$!1cbbbbbbb!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7&7%$"1****************!#;$"206666666"!#<$!1KLLLLLLL!#;7%$"1****************!#;$"2:6666666"!#<$!2PLLLLLLL$!#<7%$"1xxxxxxxx!#;$"2hw)4Kaw)4#!#<$!2PLLLLLLL$!#<7%$"1xxxxxxxx!#;$"206666666"!#<$!0&=&=&=&=&=!#:7&7%$"1****************!#;$"1bbbbbbbb!#;$!1(***************!#;7%$"1xxxxxxxx!#;$"1cbbbbbbb!#;$!1>&=&=&=&=&)!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7%$"1)***************!#;$"2W2uS2uS2%!#<$!1xxxxxxxx!#;7'7%$"1)***************!#;$"2ELLLLLLL$!#<$!1lmmmmmmm!#;7%$"1)***************!#;$"1vS2uS2uS!#;$!1yxxxxxxx!#;7%$"1xxxxxxxx!#;$"1H<1&RG<1&!#;$!1yxxxxxxx!#;7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7%7%$"1xxxxxxxx!#;$"2ELLLLLLL$!#<$!1%=&=&=&=&=&!#;7%$"1xxxxxxxx!#;$"1[-e8pC!e$!#;$!1cbbbbbbb!#;7%$"1NLLLLLL$)!#;$"2ELLLLLLL$!#<$!1cbbbbbbb!#;7&7%$"1****************!#;$"1bbbbbbbb!#;$!1(***************!#;7%$"1****************!#;$"1dbbbbbbb!#;$!#5!""7%$"1xxxxxxxx!#;$"14Kaw)4Ka'!#;$!#5!""7%$"1xxxxxxxx!#;$"1bbbbbbbb!#;$!1<&=&=&=&=&)!#;-%'CURVESG6%7T7%$!+LLLL8!"*$!#I!""$!#?!""7%$!+l:"*y7!"*$!*-^v(G!")$!+ZtO=>!"*7%$!+'z*[C7!"*$!+T?5bF!"*$!+%pMn$=!"*7%$!+F!o+<"!"*$!+iIlKE!"*$!+T?5b<!"*7%$!+fik:6!"*$!+#3/-^#!"*$!+)QpMn"!"*7%$!*\C71"!")$!+-^v(Q#!"*$!+Nn$=f"!"*7%$!+@F!o+"!"*$!+BhIlA!"*$!+#3/-^"!"*7%$!+F&4Q_*!#5$!+Wr&G9#!"*$!+H9dG9!"*7%$!*%=fz*)!"*$!+k"3/-#!"*$!+w(QpM"!"*7%$!+`TPN%)!#5$!+%=fz*=!"*$!+BhIl7!"*7%$!+nk:"*y!#5$!+0-^v<!"*$!*ZtO="!")7%$!*yQpM(!"*$!+E71`;!"*$!+<3/-6!"*7%$!+$4@F!o!#5$!+YAhI:!"*$!+k"3/-"!"*7%$!+2M]ei!#5$!+mK;39!"*$!*6bxQ*!"*7%$!*s&G9d!"*$!+(G9dG"!"*$!*eG9d)!"*7%$!+L!o+<&!#5$!+3`Ej6!"*$!*0-^v(!"*7%$!+Z.&ei%!#5$!+Gj"3/"!"*$!*_v(Qp!"*7%$!*mK;3%!"*$!+&[tO=*!#5$!***[C7'!"*7%$!+t\TPN!#5$!*p$=fz!"*$!*YAhI&!"*7%$!+(G(>$*H!#5$!+&*QpMn!#5$!*$fz*[%!"*7%$!)'z*[C!")$!)T?5b!")$!)%pMn$!")7%$!+8>w/>!#5$!+0Vr&G%!#5$!*(G9dG!"*7%$!+EUag8!#5$!+4XAhI!#5$!*M;3/#!"*7%$!+$RlK;)!#6$!+9ZtO=!#5$!+4)*[C7!#57%$!+B&)3@F!#6$!+y"\C7'!#6$!+&yK;3%!#67%$"+Z$)3@F!#6$"*y[C7'!#5$"*_K;3%!#57%$"+<_Ej")!#6$"+uYtO=!#5$"+$y*[C7!#57%$"+4Uag8!#5$"*ZC71$!"*$"+8j"3/#!#57%$"+&*=w/>!#5$"+kUr&G%!#5$"+VG9dG!#57%$"+#ez*[C!#5$"+fS?5b!#5$"+t$pMn$!#57%$"+os>$*H!#5$"+aQpMn!#5$"+.fz*[%!#57%$"+b\TPN!#5$"+\O=fz!#5$"+LC71`!#57%$"+UEj"3%!#5$"+WMn$=*!#5$"+j*[C7'!#57%$"+G.&ei%!#5$"+Cj"3/"!"*$"+$\v(Qp!#57%$"+:!o+<&!#5$"+.`Ej6!"*$"+B?5bx!#57%$"+-dG9d!#5$"+$G9dG"!"*$"+`&G9d)!#57%$"+)Q.&ei!#5$"+iK;39!"*$"+$3bxQ*!#57%$"+v5s-o!#5$"+UAhI:!"*$"+h"3/-"!"*7%$"+i(QpM(!#5$"+@71`;!"*$"+93/-6!"*7%$"+[k:"*y!#5$"+,-^v<!"*$"+nMn$="!"*7%$"+NTPN%)!#5$"*=fz*=!")$"*71`E"!")7%$"+A=fz*)!#5$"*;3/-#!")$"+t(QpM"!"*7%$"+3&4Q_*!#5$"+Rr&G9#!"*$"+E9dG9!"*7%$"*s-o+"!")$"+>hIlA!"*$"+zS?5:!"*7%$"+)[C71"!"*$"+)4bxQ#!"*$"+Kn$=f"!"*7%$"+dik:6!"*$"+yS?5D!"*$"+&QpMn"!"*7%$"+E!o+<"!"*$"+dIlKE!"*$"+Q?5b<!"*7%$"+%z*[C7!"*$"+P?5bF!"*$"+"pMn$=!"*7%$"+j:"*y7!"*$"+;5bxG!"*$"+WtO=>!"*7%$"+KLLL8!"*$"+'*******H!"*$"+(*******>!"*-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%*THICKNESSG6#""#-%+AXESLABELSG6%Q"x6"Q"y6"Q"z6"-%+PROJECTIONG6,$"02Rq+W4%G!#;$"2v&R*4wS:x%!#<$"1:Dq&)>f$y)!#;$!2'Qxp=:GD:!#<$"/Fk!3S\q)!#9$!1f=")H+\zY!#;$!0j&RFO!*y)*!#:$!2a1<")*o!o?"!#<$"0Y.7eR6v*!#;$"#5!""-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%,CONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$+"!""-%-BOUNDS_WIDTHG6#$"%+R!""-%.BOUNDS_HEIGHTG6#$"%+R!""-%)CHILDRENG6"

If you experiment, you can rotate to can see that the red line is perpendicular to the plane! JSFH