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Chapter 10: Q.22 (page 848)

Compute the volume of the parallelepiped determined by \(u=i\), \(v=2j\), and \(w=2k\).

Short Answer

Expert verified

The volume of the parallelepiped is \(4\) cu units.

Step by step solution

01

Given Information

The three vectors are \(u=i\), \(v=2j\), and \(w=2k\).

A parallelepiped form by these vectors. The volume of parallelepiped is given by,

\(V=|(u\times v)\cdot w|\).

02

Find the volume of parallelepiped

Substitute \(u\times v=2k\) and \(w=2k\) into formula.

\(\text{Volume }=|2k\cdot 2k|\)

\(\text{Volume }=4\)

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Most popular questions from this chapter

In Exercises 24-27, find compuv,projuv and the component of v orthogonal tou.

role="math" localid="1649693816584" u=3,1,-2,v=-6,-2,4

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