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Activity 9.4.3.
(a)
Find the area of the parallelogram formed by the vectors
\(\vu = \langle 1,3, -2\rangle\) and
\(\vv=\langle 3,0,1\rangle\text{.}\)
(b)
Find the area of the parallelogram in
\(\R^3\) whose vertices are
\((1,0,1)\text{,}\) \((0,0,1)\text{,}\) \((2,1,0)\text{,}\) and
\((1,1,0)\text{.}\)
Hint.
It might be helpful to draw a picture to see how the vertices are arranged so you can determine which vectors you might use.
