Theory of Intelligence
11TH•Mathematics•Vectors In Space•Question 5

(ii)

Find a real number $\alpha$ so that the vectors $\mathbf{u}$ and $\mathbf{v}$ are perpendicular:

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(ii)

u=αi+2αj−k\mathbf{u} = \alpha\mathbf{i} + 2\alpha\mathbf{j} - \mathbf{k}, v=i+αj+3k\mathbf{v} = \mathbf{i} + \alpha\mathbf{j} + 3\mathbf{k}

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