The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

Options

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

C

Explanation

`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)|`