Let , and be three coplanar vectors with and . Then is perpendicular…

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

Problem

Let α=ai^+bj^+ck^\alpha = a\hat{i} + b\hat{j} + c\hat{k} , β=bi^+cj^+ak^\beta = b\hat{i} + c\hat{j} + a\hat{k} and γ=ci^+aj^+bk^\gamma = c\hat{i} + a\hat{j} + b\hat{k} be three coplanar vectors with a≠ba \neq b and v=i^+j^+k^\mathbf{v} = \hat{i} + \hat{j} + \hat{k} . Then v\mathbf{v} is perpendicular to (1) α\alpha (2) β\beta (3) γ\gamma (4) None of these

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