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If |AxxB| = sqrt3 A.B, then the value of...

If `|AxxB| = sqrt3 A.B,` then the value of |A+B| is

A

`(A^(2)+B^(2)+(AB)/(sqrt(3)))^(1//2)`

B

A+B

C

`(A^(2)+B^(2)+sqrt(3)AB)^(1//2)`

D

`(A^(2)+B^(2)+AB)^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d) AB sintheta=sqrt(3)Abcos theta or tantheta=sqrt(3)`
`therefore theta=60^(@)`
`"Now" , |A+B|=sqrt(A^(2)+b^(2)+ 2AB cod 60^(@))`
`=sqrt(A^(2)+B^(2)+AB)`
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