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Two foreces vecP and vecQ are acting at...

Two foreces `vecP and vecQ` are acting at a point . If `vecP` is reversed, the new resultant becomes between magnitudes of P and Q is given by `P = KQ `. Find k.

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The correct Answer is:
1
`vecR_(1) = vecQ + vecP` and `vecR_(2) = vecQ - vecP`
Given that `vecR_(1)` and `vecR_(2)` are perpendicular, therefore,
`vecR_(1) . vecR_(2) = 0`
`(vecQ + vecP).(vecQ- vecP) = 0`
`Q^(2) - P^(2) = 0`
`Q^(2) =P^(2)`
`Q^(2) = k^(2) Q^(2)`
`rArr" "k= 1`
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