14. Using dot product to find a projection vector

To find vector p that is a projection of vector u onto v,

1. First find projection length:

   • projection length = |u|cos(a) = (u·v)/|v|

2. To find projection vector, multiply projection length by v's unit vector v / |v|:

   • p = (u·v)/|v| * v/|v| = (u·v)/|v|² * v