Find a unit vector which is along the direction of vector $^i +^j + 2^k$ .

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Solution

Let $\to r = i + j + 2^k$
$| \to r | = \sqrt{1 + 1 + 4} = \sqrt{6}$
$^r = \frac{\to r}{| \to r |}$
$\Rightarrow \frac{1}{\sqrt{6}} (i + j + 2 k)$ .

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