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

(i)

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

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(i)

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

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(ii)
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