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Let , and be three coplanar vectors with and . Then is perpendicular…
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Let α = a i ^ + b j ^ + c k ^ \alpha = a\hat{i} + b\hat{j} + c\hat{k} α = a i ^ + b j ^ + c k ^ , β = b i ^ + c j ^ + a k ^ \beta = b\hat{i} + c\hat{j} + a\hat{k} β = b i ^ + c j ^ + a k ^ and γ = c i ^ + a j ^ + b k ^ \gamma = c\hat{i} + a\hat{j} + b\hat{k} γ = c i ^ + a j ^ + b k ^ be three coplanar vectors with a ≠ b a \neq b a = b and v = i ^ + j ^ + k ^ \mathbf{v} = \hat{i} + \hat{j} + \hat{k} v = i ^ + j ^ + k ^ . Then v \mathbf{v} v is perpendicular to
(1) α \alpha α
(2) β \beta β
(3) γ \gamma γ
(4) None of these
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