Theory of Intelligence
11TH•Mathematics•Vectors In Space•Question 9

b

We say that two vectors $\mathbf{v}$ and $\mathbf{w}$ in space are parallel if there is a scalar $c$ such that $\mathbf{v} = c\mathbf{w}$.

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b

Find the constant aa so that the vectors v=i−3j+4k\mathbf{v} = \mathbf{i} - 3\mathbf{j} + 4\mathbf{k} and w=ai+9j−12k\mathbf{w} = a\mathbf{i} + 9\mathbf{j} - 12\mathbf{k} are parallel.

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