MHT CET202619 April 2026Morning ShiftPhysicsMathematics in PhysicsActual
For two vectors P and Q , P Q = | P Q | The magnitude of R = P + Q is ( 45^ = 1 2 ) ?
Options
- AP^2 + Q^2
- BP^2 + Q^2 2
- CP^2 + Q^2 + PQ 2
- DP^2 + Q^2 + 2 ,PQ
Correct answer
D. P^2 + Q^2 + 2 ,PQ
Step-by-step solution
Given P Q = | P Q | PQ = PQ = 1 = 45^ The magnitude of the resultant vector R = P + Q is given by: | R | = P^2 + Q^2 + 2PQ Substituting = 45^ : | R | = P^2 + Q^2 + 2PQ 45^ | R | = P^2 + Q^2 + 2PQ ( 1 2 ) | R | = P^2 + Q^2 + 2 PQ Answer: P^2 + Q^2 + 2 ,PQ