Question

A vector is not changed if
(a) it is rotated through an arbitrary angle
(b) it is multiplied by an arbitrary scalar
(c) it is cross multiplied by a unit vector
(d) it is slid parallel to itself.

Answer 1

(d) it is slid parallel to itself.

Explanation:

A vector is defined by its magnitude and direction. If we slide it to a parallel position to itself, then none of the given parameters, which define the vector, will change.

Let the magnitude of a displacement vector A directed towards the north be 5 metres. If we slide it parallel to itself, then the direction and magnitude will not change.