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Chapter 9: Q. 42 (page 630)

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

v-w

Short Answer

Expert verified

The expressionv-w=0.

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, v-w=3i+j-2k--3i+2j-k

As we know the length of a vector can be found as

v=ai+bj+ckv=a2+b2+c2

03

Step 3. Solve

By proceeding with the calculation further

v-w=3i+j-2k--3i+2j-k=32+12+-22--32+22+-12=14-14=0

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