If , , and , then is equal…

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

If a=i^+j^+k^\mathbf{a} = \hat{i} + \hat{j} + \hat{k} , b=i^+j^\mathbf{b} = \hat{i} + \hat{j} , c=i^\mathbf{c} = \hat{i} and (a×b)×c=λa+μb(\mathbf{a} \times \mathbf{b}) \times \mathbf{c} = \lambda \mathbf{a} + \mu \mathbf{b} , then λ+μ\lambda + \mu is equal to (1) 0 (2) 1 (3) 2 (4) 3

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