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91Ó°ÊÓ

In Problems 40–45, use the vectors v=3i+j-2kand w=-3i+2j-kto find each expression.

4v-3w

Short Answer

Expert verified

The expression4v-3w=21i-2j-5k.

Step by step solution

01

Step 1. Given Information 

The given vectors arev=3i+j-2kandw=-3i+2j-k.

02

Step 2. Finding the given expression

To find the expression, substitute the values of vectors in the given expression.

Thus,

4v-3w=43i+j-2k-3-3i+2j-k=12i+4j-8k+9i-6j+3k=21i-2j-5k

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