The number of distinct real values of λ , for which the vectors − λ 2 i ^ + j ^ + k ^ , i ^ − λ 2 j ^ + k ^ and i ^ + j ^ − λ 2 k ^ are coplanar, is

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MathematicsVectorMiscellaneous/MixedEasy2 min

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The number of distinct real values of $λ$ , for which the vectors $- λ^{2} \hat{i} + \hat{j} + \hat{k}, \hat{i} - λ^{2} \hat{j} + \hat{k}$ and $\hat{i} + \hat{j} - λ^{2} \hat{k}$ are coplanar, is

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Solution:

$- λ^{2} 11 1 - λ^{2} 1 10 - λ^{2} = 0$

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Miscellaneous/Mixed

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