Three vectors each of Magnitude A are acting at a point such that angle between two consecutive vectors in the same plane is = 60. then magnitude of resultant is

The resultant force = Zero(0)

Explanation: resolving the vector into X and Y component

AB = A

BC = -A cos60 + A sin60

= - A/2 + 0.866A

CA = - A cos60 - A sin 60

= -A/2 - 0.866A

Sum of the magnitude in the X component

A - A/2 - A/2 = 0

Sum of the magnitude in the Y component

- 0.866A + 0.866A = 0

Resultant vector = root(X^2 + Y^2) = 0

Therefore

AB + BC + CA = 0