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\textbf{Math 225: Calculus III}
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\textbf{Quiz 1}\quad \textsl{September 5, 2002}
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1. The points $A(0,0,0)$, $B(2,-1,3)$, and $C(7,4,1)$ are vertices of a
parallelogram. If the line segments $AB$ and $BC$ form two adjacent sides
of the parallelogram, find the coordinates of the fourth vertex~$D$.

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2. Let $\a = \i - \j$ and $\b = \i + 2\j + 3\k$. Compute $\a\cdot\b$ and
$\a\times\b$.


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