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Dot Product has many types according to the 4 below:
u * v = <x1, y1> * <x2, y2> = x1x2 + y1y2
If it equals 0, then the vectors are perpendicular.
If the vectors are multiples of each other then they're parallel.
Properties of Dot Products:
1. Commutative: u * v = v * u
2. Squared: u* u =! u^2; u * u = |u^2|
3. k(u * v) = ku * v
4. u * u = |u|^2

Ex: u(3, -6) v(4,2) w(-12,-6) -Find the u*v and v*w. Show that u and v are orthogonal and v and w are parallel u*v = 3(4) + -6(2) = 0 which means they are perpendicular because it equals 0 v*w = -12(2) + 2(-6) = -60 w/v = -12/4 = -3 -6/2 = -3 : They are multiples of each other therefore they are parallel