Download the app

Questions  

If |A+B| = |AB|, then the angle between A  and B will be

a
300
b
450
c
600
d
900

detailed solution

Correct option is D

Let θ be the angle between the vectors A→ and B→.Then |A→ + B→| = A2+B2+2ABcosθ|A→ − B→| = A2+B2-2ABcosθ|A→ + B→| = |A→ − B→| ∴  A2+B2+2ABcosθ = A2+B2-2ABcosθSquaring on both sides, we getA2+B2+2ABcosθ = A2+B2-2ABcosθ4ABcosθ = 0∴ cosθ = 0 or θ = π2

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

Three forces 9 N, 12 N and 15 N acting at a point are in equilibrium the angle between 9 N and 15 N is 


phone icon
whats app icon