Two equal vectors each have magnitude A. If the magnitude of their difference is A, find the angle between them in degrees.
Physics · Mathematical tools and vector · Vector
NEET JEE Mains

Question

Two equal vectors each have magnitude A. If the magnitude of their difference is A, find the angle between them in degrees.

G1 Physics · Accepted Answer

|A⃗−B⃗|²=2A²−2A²cosθ=A². Thus 1=2−2cosθ, so cosθ=1/2 and θ=60°.