If , then the value of…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

If ∣a×b∣=3 a⋅b|\mathbf{a}\times\mathbf{b}|=\sqrt{3}\,\mathbf{a}\cdot\mathbf{b}, then the value of ∣a+b∣|\mathbf{a}+\mathbf{b}| is: (1) (A2+B2+AB)1/2(A^2+B^2+AB)^{1/2} (2) (A2+B2+AB3)1/2\left(A^2+B^2+\frac{AB}{\sqrt{3}}\right)^{1/2} (3) A+BA+B (4) (A2+B2+3AB)1/2(A^2+B^2+\sqrt{3}AB)^{1/2}

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