Question

If a vector has zero magnitude is it meaningful to call it vector

Answer 1

Answer:

A vector is an element of a vector space, a set of objects which has some certain properties. ... Thus, any set of things which can be called vectors must have a zero vector. Further, if it is a normed space — which means the vectors have magnitude — then the zero vector has magnitude 0.

Answer 2

Answer:

yes it is meaningful to call it a vector. But the zero vector is called Null vector and it magnitude and direction is indeterminate but the definition of a vector is not so much about the magnitude of the vector. It is about direction in which vector is pointing. If the point are not all adjacent, then the vector is meaningless