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Unit Vectors

Write a vecto...

Question

Write a vector of magnitude $9$ units in the direction of vector $- 2^i +^j + 2^k$

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Solution

Let $\to a = - 2 \to i + \to j + 2 \to k$
Required vector $\frac{\to a}{| \to a |} \times 9$
$= \frac{9 (- 2 \to i + \to j + 2 \to k)}{\sqrt{4 + 1 + 4}} = \frac{9 (- 2 \to i + \to j + 2 \to k)}{3}$
$= - 6 \to i + 3 \to j + 6 \to k$

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