\documentclass[12pt]{article}

\setlength{\parindent}{0pt}
\everymath={\displaystyle}
\pagestyle{empty}

\renewcommand{\i}{\ensuremath{\mathbf{i}}}
\renewcommand{\j}{\ensuremath{\mathbf{j}}}
\renewcommand{\k}{\ensuremath{\mathbf{k}}}
\renewcommand{\v}{\ensuremath{\mathbf{v}}}
\newcommand{\w}{\ensuremath{\mathbf{w}}}
\renewcommand{\vec}[1]{\stackrel{\longrightarrow}{#1}}

\begin{document}

\textbf{Math 225: Calculus III}
\hfill\makebox[2.5in][r]{Name:\hrulefill}

\textbf{Quiz 1}\quad \textsl{Sep. 6, 2001}
\hfill\makebox[2.5in][r]{Section:\hrulefill}

\bigskip
1.  Given the points $P(-1,3,4)$ and $Q(3,11,3)$ in space, find a unit vector in the
direction of $\vec{PQ}$.

\vspace*{3in}


2.  Let $\v =  \i - \j + \k$. Find the values of $y$ so that the angle
between $\v$ and $\w = 4\i + y\j - 3\k$ is $60$~degrees.


\end{document}
