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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)` |
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