In the sketch below a line is drawn through points P and Q. Point A is created by having its position vector given by[br][math]\vec{\text{OA}}[/math] = [math]\vec{OP}[/math] + [math]k\vec{m}[/math][br]where [i]k[/i] is a real constant and [math]\vec{m}[/math] is the direction vector of the line ([math]\vec{PQ}[/math]).