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

cannot be predicted
are equal to each other
are equal to each other in magnitude
are not equal to each other in magnitude

Correct answer: are equal to each other in magnitude

Solution

If the vector sum of two forces is perpendicular to their vector difference, the forces must have equal magnitudes. This is because the dot product of the sum and difference being zero implies that the magnitudes of the forces are equal.

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