Question

What happens when a vector is multiplied by a scalar?

(a) Its magnitude gets multiplied by that much amount

(b) Its direction rotates in XY plane by that much angle

(c) Its direction rotates in YZ plane by that much angle

(d) Its direction rotates in ZX plane by that much angle

I have been asked this question in an internship interview.

I need to ask this question from Motion in a Plane in chapter Motion in a Plane of Physics – Class 11

Answer 1

Correct option is (a) Its magnitude gets multiplied by that much amount

Best explanation: Any vector a, can be written as a = |a|(\(\widehat{unit vector}\)). Hence, when we multiply it by a scalar, the magnitude multiplies by that much amount.