This tutorial will show you how to get to any point on a line. It starts by introducing you to a line in two dimensions and showing you how this can be extended to take into account any point on a line in 3 dimensions.

Sketching 3-Dimensional vector problems (lines and points)

Common Methods: Given a point on the line and direction

  1. Find the vector equation of the line l passing through the point A(-2,1,4) and parallel to the vector 2\mathbf{i}+3\mathbf{j}-\mathbf{k}

Common Methods: Line passing through two given points

  1. Find the vector equation of the line passing through the points A(-1,5,2)\text{ and } B(2,1,-3).