1.

If `|AxxB| = sqrt3 A.B,` then the value of |A+B| isA. `(A^2+B^2 +AB)^(1//2)`B. `(A^2 +B^2 + (AB)/(sqrt3))^(1//2)`C. `(A+B)`D. `(A^2 +B^2 +sqrt3 AB)^(1//2)`

Answer» Correct Answer - A
`|AxxB|= sqrt3 A.B`
`rArr AB sin theta = sqrt3 AB cos theta`
or `tan theta = sqrt3`
rArr `theta = 60^@`
`|A + B|=sqrt(A^2 + B^2 + 2AB cos 60^@)`
`=sqrt(A^2 +B^2 +AB)`


Discussion

No Comment Found

Related InterviewSolutions