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The vector sum of two forces is perpendi...

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

A

Equal to each other

B

Equal to each other in magnitude

C

Not equal to each other in magnitude

D

Can not be predicted

Text Solution

Verified by Experts

The correct Answer is:
B
`(vecA+vecB).(vecA-vecB)=0`
`vec(A^(2))+vecB.vecA-vecA.vecB-vec(B^(2))=0`
`vec(A^(2))-vec(B^(2))=0`
(Since `vecA.vecB=vecB.vecA)`
`A^(2)=vecBimplies A=B`
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