If the vectors

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

If the vectors a=i^−j^+2k^\mathbf{a} = \hat{i} - \hat{j} + 2\hat{k} , b=2i^+4j^+k^\mathbf{b} = 2\hat{i} + 4\hat{j} + \hat{k} and c=λi^+j^+μk^\mathbf{c} = \lambda\hat{i} + \hat{j} + \mu\hat{k} are mutually orthogonal, then (λ,μ)(\lambda, \mu) is equal to (1) (−3,2)(-3, 2) (2) (2,−3)(2, -3) (3) (−2,3)(-2, 3) (4) (3,−2)(3, -2)

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