Theory of Intelligence
11TH•Mathematics•Vectors In Space•Question 4

(ii)

Find the constant $\alpha$ such that the vectors are coplanar.

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(ii)

i−2αj−k\mathbf{i} - 2\alpha\mathbf{j} - \mathbf{k}, i−2j+2k\mathbf{i} - 2\mathbf{j} + 2\mathbf{k} and αi−2j+k\alpha\mathbf{i} - 2\mathbf{j} + \mathbf{k}

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