If |A→×B→|$$=3$$ A.B then the value of |A→$$+B$$→| is

Correct option is 1(A2+B2+AB)1/2

Questions

If $| \vec{A} \times \vec{B} | = \sqrt{3}$ A.B then the value of $| \vec{A} + \vec{B} |$ is

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(A2+B2+AB)1/2

(A2+B2+AB3)1/2

(A+B)

(A2+B2+3AB)1/2

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detailed solution

Correct option is A

As |A→×B→|=3A.B so AB sinθ=3ABcosθor tanθ=3=tan600 or θ=600∴ |A→+B→|=A2+B2+2ABcos600=(A2+B2+AB)1/2

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If |A→×B→|=3 A.B then the value of |A→+B→| is

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If $| \vec{A} \times \vec{B} | = \sqrt{3}$ A.B then the value of $| \vec{A} + \vec{B} |$ is