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If F(1) and F(2) aare two vectors of eq...

If `F_(1) and F_(2)` aare two vectors of equal magniudes F such that `|F_(1).F_(2)|= |F_(1)xxF_(2)|, "then"|F_(1) +F_(2)|` equals to

A

`sqrt((2+sqrt(2)))F`

B

`2F`

C

`Fsqrt(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

(a) `F.F.costheta =F.F sin theta `or tantheta `=1or theta=45^(@)`
`|F_(1).F_(2)|=sqrt(F^(2)+F^(2)+2,FFcos 45^(@))`
`(sqrt(2+sqrt(2)))F`
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