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Chapter 1: Q17P (page 39)

What is the result of multiplying the vectora鈫�by the scalar f, wherea鈫�=<002,-1.7,300>and f = 2.0?

Short Answer

Expert verified

The result of the scalar multiplication is f.a鈫�=0.4,-3.4,600.

Step by step solution

01

Definition of the scalar product

The concept of scalar multiplications is given by f.a鈫�which is the product of quantity fand the vectora鈫�.

02

Finding scalar multiplication

The given values are a鈫�=002,-1.7,300and f = 2.0 .

Multiply the scalar f by the given vector to get the product of scalar with vector.

f.a鈫�=200.02,-1.7,300=(20)(0.02),(20)(-17),(20)(300)=0.4,-3.4,600

Therefore, the result of the scalar multiplication is 0.4,-3.4,600.

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