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{
\bf ``QUIZ'' for Lecture 1
}
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{\bf NAME:} (print!) $\underline
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{\quad \bf Section:}
$\underline{\quad\quad\quad}$

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{\bf E-MAIL ADDRESS:} (print!) 
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1. Show that the triangle with vertices $P=(1,0,0)$, $Q=(0,1,0)$, and
$R=(0,0,1)$ is an equilateral triangle.

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2. Determine whether the following two lines ever meet.
If they do meet, where?
$$
{\bf r}_1(t)= \langle 1,0,0 \rangle + t \langle 1,2,3 \rangle  \quad ,
\quad 
{\bf r}_2(t)= \langle 0,1,0 \rangle + t \langle 2,1,3 \rangle \quad .
$$


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