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Question

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

A
are not equal to each other in magnitude
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B
are parallel
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C
are perpendicular
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D
are equal to each other in magnitude
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Solution

The correct option is D are equal to each other in magnitude
Let the vectors be A and B
(A + B).(A - B) = 0
A.A + B. A - A . B - B. B=0
|A|2+|A||B| cosθ|A||B| cosθ|B|2=0
|A|=|B|

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