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Chapter 9: Q. 32 (page 627)

Use the given vectors u, v, and w to find each expression.

u=2i-3j+k,v=-3i+3j+2k,w=i+j+3k-3v脳w

Short Answer

Expert verified

The required cross product is-21i-33j+18k.

Step by step solution

01

Step 1. Given Information 

We are given three vectors u,v,w and we need to find the cross product of (-3v)脳w.

02

Step 2. Finding cross product   

v=-3i+3j+2kw=i+j+3k鈭�(-3v)=(-3)脳(-3i+3j+2k)鈬�(-3v)=9i-9j-6k

The required cross product is

-3v脳w=ijk9-9-6113=i-9-613-j9-613+k9-911=i((-9).3-1.(-6))-j(9.3-1.(-6))+k(9.1-1.(-9))=-21i-33j+18k

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