Dot product

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In linear algebra, the dot product of two vectors $\vec{v} = (v_1, \cdots, v_n), \vec{w} = (w_1, \cdots, w_n)$ is defined to be $\vec{v}\cdot\vec{w} = \sum_{i=1}^n v_i w_i$. The dot product is bilinear.This article is a stub. Help us out by expanding it.