Question

How does multiplying a vector by a scalar value of -pi change the vector?

a) the vector will change direction and increase in magnitude.
b) the vector will change direction and decrease in magnitude.
c) the vector will not change direction but will increase in magnitude.
d) the vector will not change direction but will decrease in magnitude.

Answer 1

Option A.

Explanation:

Multiplying a vector by a scalar value will make the vector shorter or larger, depending on whether the absolute value of the scalar value is less or greater than 1. In addition, negative scalar values make a vector point in the opposite direction.

Answer 2

Explanation:

Example: <2, 3>

Mult. this vector by -pi results in: -π<2, 3> or <-2π, -3π>

This will reverse the direction of the given vector and increase its magnitude ( Answer (a) )