Theory of Intelligence
11TH•Mathematics•Vectors In Space•Question 1

(i)

Compute the cross product $\mathbf{a} \times \mathbf{b}$ and $\mathbf{b} \times \mathbf{a}$. Check your answer by showing that each $\mathbf{a}$ and $\mathbf{b}$ are perpendicular to $\mathbf{a} \times \mathbf{b}$ and $\mathbf{b} \times \mathbf{a}$.

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(i)

a=2i+j−k\mathbf{a} = 2\mathbf{i} + \mathbf{j} - \mathbf{k}, b=i−j+k\mathbf{b} = \mathbf{i} - \mathbf{j} + \mathbf{k}

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(ii)
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