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

(i)

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

(i)

i−j+k\mathbf{i} - \mathbf{j} + \mathbf{k}, i−2j−3k\mathbf{i} - 2\mathbf{j} - 3\mathbf{k} and 3i−αj+5k3\mathbf{i} - \alpha\mathbf{j} + 5\mathbf{k}

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