Question

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
A. Cannot be predicted
B. are equal to the each other
C. are equal to each other in magnitude
D. are not equal to each other in magnitude

Answer 1

Correct Answer - C
`vec(P)=` vector sum`=vec(A)+vec(B)`
`vec(Q)=ve ct o r d i f f er en ces= vec(A)+vec(B)`
Since `vec(P)` and `vec(Q)` are perpendicular to
`vec(P).vec(Q)=0`
`implies (vec(A)+vec(B)).(vec(A)-vec(B))=0`
`implies A^(2)=B^(2)implies |vec(A)|=|vec(B)|`