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Vector Addition

A and B are...

Question

$\to A$ and $\to B$ are two vectors given $\to A = 2 \to i + 3 \to j$ and $\to B = \to i + \to j$ . The magnitude of the component $\to A$ along $\to B$ is

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Solution

The component of the vector A along B geometrically is:
$B cos θ$ = $\frac{A \times b}{| B |} \times (^B)$
$= \frac{5}{2^{\frac{1}{2}}} (i + j)$

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