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\RequirePackage{amsmath,amsthm,amssymb,latexsym,amsthm,verbatim,xspace,amstext,xspace,setspace}

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\usepackage[margin=1in, nohead, pdftex]{geometry}
\usepackage{enumerate,graphicx}
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\setlength{\textheight}{9.5in}
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\begin{document}

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\begin{center}{ \Large{Worksheets}  \\\large{9/14/2017} }\end{center}
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% At this point, you might have some introductory text, or jump straight
% into an ``enumerate'' environment for the problem statements.
\bigskip
\begin{enumerate}
\item  Compute the area of the parallelogram spanned by $\vec{a}=\langle 1,2\rangle$ and $\vec{b}=\langle 1,-1\rangle$.\vspace{3in}
\item Compute the volume of the parallelepiped spanned by $\vec{a}=\langle 2,0,1\rangle$, $\vec{b}=\langle 1,1,1\rangle$ and $\vec{c}=\langle 1,-1,0\rangle$.\vspace{3in}
\item Compute the distance from point $A=(1,2)$ to the line $x-3y=1$.\vspace{3in}
\item Compute the distance from point $A=(1,1,0)$ to the plane $x-y+z=-1$.\vspace{3in}
\item Write the equation of the plane which\begin{enumerate}[i)]\item passes through point $A=(1,0,1)$ and is perpendicular to vector $\vec{a}=\langle 2,1,-1\rangle$.
\vspace{3.2in}
\item passes through points $A=(1,0,1)$, $B=(0,1,1)$, and $C=(2,0,-1)$.
\vspace{4in}
\newpage\item passes through point $A=(1,0,1)$ and contains the line $l(t)=(t,2t+1,-t)$.
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\vspace{3.5in}
\item passes through point $A=(1,0,1)$ and is perpendicular to line $l(t)=(t,2t+1,-t)$.
\vspace{3.5in}
\newpage\item contains the lines $l_1(t)=(t,2t+1,-t)$ and $l_2(t)=(0,t,t+1)$.
\end{enumerate}
\end{enumerate}
\end{document}











