The projection of $a = 3 i - j + 5 k$ on $b = 2 i + 3 j + k$ is

8 / \sqrt{(35)}

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8 / \sqrt{(39)}

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8 / \sqrt{(14)}

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\sqrt{(14)}

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Solution

The correct option is B $8 / \sqrt{(14)}$
Projection of $a$ on $b$ is $= \frac{a \cdot b}{| b |} = \frac{3.2 - 1.3 + 5.1}{\sqrt{4 + 9 + 1}} = \frac{8}{\sqrt{14}}$

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