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\textbf{Math 225: Calculus III}
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\textbf{Quiz 3}\quad \textsl{Feb. 6/8, 1996}
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\begin{enumerate}
\problemspace
\item 
Determine the equation of the plane perpendicular to the curve defined by
$r(t) = t e^{t-1}\i + t^2 \j + (2-t)\k$ at the point $(1,1,1)$.

\answerspace

\problemspace
\item 
Find the the unit tangent vector $\T[1]$ at $t = 1$ for the curve defined by
$r(t) = t \i + \sin(\pi t)\j - t \k$.

\answerspace

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