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Applications of Dot Product

If a⃗=4î+6ĵ a...

Question

If $\to a = 4^i + 6^j$ and $\to b = 3 \to j + 4 \to k$ then the vector form of component of $\to a$ along $\to b$ is

A

\frac{18}{10 \sqrt{3}} (3^j + 4^k)

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B

\frac{18}{25} (3^j + 4^k)

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C

\frac{18}{\sqrt{3}} (3^j + 4^k)

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D

3^j + 4^k

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Solution

The correct option is B $\frac{18}{25} (3^j + 4^k)$
The component of $\to a$ along $\to b$ is given by
$(\frac{\to a . \to b}{| \to b |^{2}}) \to b = \frac{18}{25} (3^j + 4^k)$

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\to b = 3^i + 6^j + 2^k

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sin (\to a, \to b) =

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Applications of Dot Product

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