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

A vector in its standard form is given by:
 v = lvl * (cos (theta) i + sin (theta) j)
 If we multiply the vector by a scalar -pi we have:
 v = -pi * lvl * (cos (theta) i + sin (theta) j)
 We observe the following changes:
 The magnitude of the vector is greater.
 The vector changes direction.
 Answer:
 A. The vector will change direction and increase in magnitude.