Question

In which condition resultant of two equal vector in magnitude either one of them?

Answer 1

If the magnitude of the resultant of two equal vectors is equal to that of either vector, find the angle between them.

My Attempt: Let a⃗ and b⃗ be two vectors such that ∥a⃗ ∥=∥b⃗ ∥

Magnitude of Resultant:

=a2+b2+2abcosθ−−−−−−−−−−−−−−−√

=2a2+2abcosθ−−−−−−−−−−−−√