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Q.

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

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a

(A2+B2+AB3)12

b

A+B

c

(A2+B2+3AB)12

d

(A2+B2+AB)12

answer is D.

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Detailed Solution

|A→×B→| =3A→.B→ABsinθ = 3    ABcosθ ⇒tanθ = 3    ∴θ = 600Now |R→| = |A→+B→| = A2+B2+2ABcosθ= A2+B2+2AB12 = A2+B2+AB12
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