Why is cos theta involved in dot product of two vectors i.e [{(vector A) dot (vector B)} = |A| |B| cos theta]

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

Reason: Statement-II: The product of two vectors is a vector quantity, then the product is called a dot product.

In dot product,

i.i=1x1xcos theta(How does cos comes here?)

\to a

If the dot product of two non-zero vectors is zero, then the vectors

d

α

a = cos θ . i + sin θ . j, b = - sin θ . i + cos = θ . j

c = k

α

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