Dot Product of two Vectors in 2D

Dot Product of two Vectors in 2D:

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Find

,
where

, and

We find the Dot Product from the sum of the products of the components:

s = a_x*b_x + a_y*b_y. Here this becomes

s = (-1)*(-3) + (-5)*2 = 3 - 10 = -7