Chapter 1: Q17P (page 39)

What is the result of multiplying the vector $\vec{a}$ by the scalar f, where $\vec{a} = < 002, - 1.7, 300 >$ and f = 2.0?

Short Answer

Expert verified

The result of the scalar multiplication is $f . \vec{a} = <0.4, - 3.4, 600>$ .

Step by step solution

Definition of the scalar product

The concept of scalar multiplications is given by $f . \vec{a}$ which is the product of quantity fand the vector $\vec{a}$ .

Finding scalar multiplication

The given values are $\vec{a} = <002, - 1.7, 300>$ and f = 2.0 .

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

$f . \vec{a} = (20) <0.02, - 1.7, 300> = <(20) (0.02), (20) (- 17), (20) (300)> = <0.4, - 3.4, 600>$

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

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What is the result of multiplying the vector $\vec{a}$ by the scalar f, where $\vec{a} = < 002, - 1.7, 300 >$ and f = 2.0?

Short Answer

Step by step solution

Definition of the scalar product

Finding scalar multiplication

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

Short Answer

Step by step solution

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Finding scalar multiplication

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What is the result of multiplying the vector $\vec{a}$ by the scalar f, where $\vec{a} = < 002, - 1.7, 300 >$ and f = 2.0?