Explain the dot product of two vector quantities.

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Solution

The dot product ( $\to a . \to b$ ) of two vectors $\to a$ and $\to b$ is a scalar quantity.
We can calculate the dot product as:
$| \to a . \to b | = | \to a | | \to b | c o s θ$
Here, $| \to a |$ is the magnitude of vector $\to a$ .
$| \to b |$ is the magnitude of vector $\to b$ .
$θ$ is the angle between $\to a$ and $\to b$ .

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