\documentclass[11pt]{article}
\def\Z{\mathbb{Z}}
\def\Q{\mathbb{Q}}
\usepackage{latexsym,amsmath,amssymb,epsfig}
\setlength{\textwidth}{6.5in}
\setlength{\oddsidemargin}{0in}
\setlength{\textheight}{8.0in}
\setlength{\topmargin}{-.5in}
\pagenumbering{gobble}
\begin{document}
\centerline{{\bf MATH 241} -- Individual Quiz 1}
\vskip 10pt
\leftline{{\bf Your Name:} 
$\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$}
\vskip 10pt
\begin{itemize}
\item This quiz must be completed during class time and is closed book, closed notes.
You are not allowed to discuss with others.  Please turn in solutions to all of these.
\item  In order to get full credit, please write all your work, not just the final answer.
\end{itemize}
\vskip 10pt
\begin{enumerate}
\item (3 points) Describe in words the following subset of ${\bf R}^3$:
$$\{(x,y,z) \mid x - z = 2\}.$$
\vskip 1.5truein
\item (3 points) Find the vector of length 3 in the direction of 
${\bf v} = \langle 4,3,1\rangle$.
\vskip 1.5truein
\item (4 points) Let ${\bf v} = \overrightarrow{AB}$ and ${\bf w} = \overrightarrow{AC}$, where
$A,B,C$ are three distinct points in the plane.  Match (a) - (d) with (i) - (iv).  
(Hint: Draw a picture.)
$${\rm (a)} {\bf w} \qquad\qquad {\rm (b)} - {\bf v} \qquad\qquad {\rm (c)} {\bf w} - {\bf v}
\qquad\qquad {\rm (d)}  {\bf v} - {\bf w}$$
$${\rm (i)} \overrightarrow{CB} \qquad\qquad {\rm (ii)} \overrightarrow{CA} \qquad\qquad {\rm (iii)} 
\overrightarrow{BC} \qquad\qquad {\rm (iv)}  \overrightarrow{BA}$$
\vskip 1.5truein
\noindent
{\bf Bonus Problem:} (2 points)  If $A,B$ and $C$ are the vertices of triangle, what
is $\overrightarrow{AB} + \overrightarrow{BC} + \overrightarrow{CA}$?
\end{enumerate}
\end{document}
