Question

Is it true that if two vectors has the same magnitude that they are always equal? If two vectors are equal, must they always have the same magnitude. Explain

Answer 1

(2,1) and (1,2) have the same magnitude but are not equal.
So...

Answer 2

vectors have direction and magnitude, so for two vectors that are equal in magnitude but opposite in directions then they are not identical, far from it, they are called equal and opposite; like 'Action-Reaction' pair as according to Newton's third law.