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The vector sum of two forces is perpendicular to their vector differences. In that case, the forcesA. Are equal to each other in magnitudeB. Are not equal to each other in magnitudeC. Cannot be predictedD. Are equal to each other

Answer» Correct Answer - A
If two vector are perpendicular then their dot product must be equal to zero. According to problem
`(vec(A)+vec(B)).(vec(A)-vec(B))= 0 implies vec(A).vec(A)-vec(A).vec(B)+vec(B).vec(A)-vec(B).vec(B)=0`
`implies A^(2)-B^(2)= 0 implies A^(2)= B^(2)`
i.e., two vector are equal to each other in magnitude.


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