Question

The vector sum of two forces is perpendicular to their vector difference the forces are

Answer 1

Answer:

answer is the forces are equal.

Explanation:

given that the vector sum of two forces i.e. (A+B) where A and B are two forces

is perpendicular to their vector difference i.e. (A-B).

now the dot product of the vector sum of the two forces and the vector difference of the two forces will be zero as they are perpendicular to each other so,

(A+B).(A-B)=0

A^2 - B^2=0

A^2 = B^2

i.e. vector A= vector B

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