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Chapter 9: Q. 25 (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

v脳u

Short Answer

Expert verified

The required cross product is9i+7j+3k.

Step by step solution

01

Step 1. Given Information

We are given three vectorsu,v,w and we need to find the cross product ofv脳u.

02

Step 2. Finding cross product

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

The required cross product is

v脳u=ijk-3322-31=i32-31-j-3221+k-332-3=i(3.1-(-3).2)-j((-3).1-2.2)+k((-3).(-3)-2.3)=9i+7j+3k

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