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JEE · NEET Previous Year Question

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

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

A $cannot be predicted$
B $always are equal to each other$
C $are equal to each other in magnitude$
D $are not equal to each other in magnitude$

Correct answer: C

Solution

(c) Let's denote vectors by a & b \Rightarrow (a + b) \cdot (a - b) = 0 \Rightarrow at - b^{2} = 0 \Rightarrow a^{2} = b^{2} So, magnitudes of vectors are equal.

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