What is the vector dot product used for?

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Solution

Vector dot product used for:
It is in expression written as:
$a \cdot b = \sum_{i = 1}^{n} a_{i} b_{i}$
Where, $a =$ first vector, $b =$ second vector, $n =$ dimension of the vector space, $a_{i} =$ component of the vector a, $b_{i} =$ component of vector b.
2. The dot product expresses how much of the force vector is directed in the direction of the motion vector.
3. The dot product may also be used to calculate the angle created by a pair of vectors as well as the location of a vector with respect to the coordinate axes.

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Assertion: Statement I: The dot product of one vector with another vector may be a scalar or a vector.

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