MHT CET202613 April 2026Morning ShiftPhysicsMathematics in PhysicsActual
The vector sum of the two forces A and B is perpendicular to their vector difference. Hence forces A and B are
Options
- Aperpendicular to each other
- Bunequal in magnitude
- Cparallel to each other
- Dequal in magnitude
Correct answer
D. equal in magnitude
Step-by-step solution
Given that the vector sum is perpendicular to the vector difference. ( A + B ) ( A - B ) = 0 A A - A B + B A - B B = 0 Since A B = B A , we get: | A |^2 - | B |^2 = 0 | A | = | B | Thus, the forces A and B are equal in magnitude. Answer: equal in magnitude