?In the following exercises, vectors u, v, and w are given.a. Find the triple scalar

Chapter 2, Problem 214

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In the following exercises, vectors u, v, and w are given.

a. Find the triple scalar product \(\mathbf{u} \cdot(\mathbf{v} \times \mathbf{w})\).

b. Find the volume of the parallelepiped with the adjacent edges u, v, and w.

\(\mathbf{u}=\langle-3,5,-1\rangle\),    \(\mathbf{v}=\langle 0,2,-2\rangle\),    and    \(\mathbf{w}=\langle 3,1,1\rangle\)

Text Transcription:

u cdot (v times w)

u = langle-3,5,-1 rangle

v = langle 0,2,-2 rangle

w = langle 3,1,1 rangle

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