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The resultant of two vectors vec(P) and ...

The resultant of two vectors `vec(P)` and `vec(Q)` is `vec(R )`. If the magnitude of `vec(Q)` is doubled, the new resultant vector becomes perpendicular to `vec(P)`. Then, the magnitude of `vec(R )` is equal to

A

P + Q

B

P

C

P - Q

D

Q

Text Solution

Verified by Experts

The correct Answer is:
4
`tan90^(@)=(2Qsintheta)/(p+2Qcostheta)`

`impliesP+2Qcostheta=0`
`& R^(2)=P^(2)+Q^(2)+2PQcostheta`
`=Q^(2)+P(P+2Qcostheta)`
`=Q^(2)+0`
`impliesR=Q`
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