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Chapter 9: Q. 41 (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=38.

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=6i-j-k

As we know the length of a vector can be found as v=ai+bj+ckv=a2+b2+c2

So,

v-w=6i-j-kv-w=62+-12+-12v-w=38

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Most popular questions from this chapter

In Problem, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.

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