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Chapter 9: Q. 31 (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+3ku脳2v

Short Answer

Expert verified

The required cross product is -18i-14j-6k.

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 u脳2v.

02

Step 2. Finding cross product  

u=2i-3j+kv=-3i+3j+2k鈭�2v=2脳(-3i+3j+2k)鈬�2v=-6i+6j+4k

The required cross product is

u脳(2v)=ijk2-31-664=i-3164-j21-64+k2-3-66=i((-3).4-6.1)-j(2.4-(-6).1)+k(2.6-(-6).(-3))=-18i-14j-6k

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