Dot Product

The operation given to the process of taking the product of each corresponding element in a vector, and summing all products. Also known as linear combination.

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\[ \begin{bmatrix} 1 \\ 2 \\ 3 \\ \end{bmatrix} \cdot \begin{bmatrix} 4 \\ 5 \\ 6 \\ \end{bmatrix} = (1 \cdot 4) + (2 \cdot 5) + (3 \cdot 6) = 32 \]