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Chapter 9: Q. 29 (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

(3u)脳v

Short Answer

Expert verified

The required cross product is-27i-21j-9k.

Step by step solution

01

Step 1. Given Information 

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

02

Step 2. Finding cross product 

u=2i-3j+kv=-3i+3j+2k

鈭�3u=3脳(2i-3j+k)鈬�3u=6i-9j+3k

The required cross product is

(3u)脳v=ijk6-93-332=i-9332-j63-32+k6-9-33=i((-9).2-3.3)-j(6.2-(-3).3)+k(6.3-(-3).(-9))=-27i-21j-9k

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