Applications of the Dot Product
Find the angle between 2 vectors.
Find the foot of a perpendicular from a point P to a line.
Find the distance from a point to a line.
(2) Explore the Foot of a Perpendicular!
In the applet below, we can find the coordinate of F, the foot of the perpendicular from a point P to the line that passes through A with a direction vector of b.