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If the vectors
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem If the vectors a = i ^ − j ^ + 2 k ^ \mathbf{a} = \hat{i} - \hat{j} + 2\hat{k} a = i ^ − j ^ + 2 k ^ , b = 2 i ^ + 4 j ^ + k ^ \mathbf{b} = 2\hat{i} + 4\hat{j} + \hat{k} b = 2 i ^ + 4 j ^ + k ^ and c = λ i ^ + j ^ + μ k ^ \mathbf{c} = \lambda\hat{i} + \hat{j} + \mu\hat{k} c = λ i ^ + j ^ + μ k ^ are mutually orthogonal, then ( λ , μ ) (\lambda, \mu) ( λ , μ ) is equal to
(1) ( − 3 , 2 ) (-3, 2) ( − 3 , 2 )
(2) ( 2 , − 3 ) (2, -3) ( 2 , − 3 )
(3) ( − 2 , 3 ) (-2, 3) ( − 2 , 3 )
(4) ( 3 , − 2 ) (3, -2) ( 3 , − 2 )
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