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If P+Q=R and |P|=|Q|= sqrt(3) and |R| ==...

If `P+Q=R and |P|=|Q|= sqrt(3) and |R| ==3 ,` then the angle between P and Q is

A

`pi //4`

B

`pi//6`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
C
`(C) "Resultant"R=sqrt(P^(2)+Q^(2)+2PQcostheta)`
`3=sqrt((sqrt(3))^(2)+(sqrt(3))^(2)+2(sqrt(3))(sqrt(3))costheta)`
Squaring both sides
`9=3+3+6costheta`
`Costheta=(1)/(2)impliestheta=60^(@)Or (pi)/(3)`
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