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The resultant of two vectors vecP andv...

The resultant of two vectors `vecP andvecQ is vecR`. If the magnitude of `vecQ` is doudled, the new resultant becomes perpendicuar to `vecP`. Then the magnitude of `vecR` is :

A

`((P^(2)-Q^(2))/(2PQ))`

B

`Q`

C

`(P)/(Q)`

D

`(P+Q)/(P-Q)`

Text Solution

Verified by Experts

The correct Answer is:
2

`tan alpha = ( 2Q sin theta) /(P+2Q cos theta) =oo rArr cos theta = (-P)/(2Q)`
`R^(2) = P^(2) + 2PQ((-P))/(2Q) rArr R = Q`
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