Answer: Finding the Volume of a Parallelepiped In

Chapter 5, Problem 72

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Finding the Volume of a Parallelepiped In Exercises 69 - 72, find the volume V of the parallelepiped that has u, v, and w as adjacent edges using the formula \(\boldsymbol{V}=|\mathbf{u} \cdot(\mathbf{v} \times \mathbf{w})|\)

\(\mathbf{u}=\mathbf{i}+\mathbf{j}+3 \mathbf{k}\)

\(\mathbf{v}=3 \mathbf{j}+3 \mathbf{k}\)

\(\mathbf{w}=3 \mathbf{i}+3 \mathbf{k}\)

Text Transcription:

V = |u cdot (v X w)|

u = i + j + 3k

v = 3j + 3k

w = 3i + 3k

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