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Chapter 10: Q 13 (page 848)

Fill in the blanks:
If u, v, and w are vectors in $ℝ^{3}$ , then ______ is the volume of the parallelepiped determined by u, v, andw.

Short Answer

Expert verified

The required expression is $|u . (v \times w)|$

Step by step solution

01

Given information

Three vectors u, v, and w in $ℝ^{3}$ .

02

Filling in the blanks

The volume of parrallelepiped is given by $|u . (v \times w)|$

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