This applet illustrates the interaction between initial point (where the parameter = 0), direction vector and values of the parameter when finding intersection between lines defined by vector equations.
This applet shows three initial points, and a direction vector for a line through each. 1. What are the initial coordinates of blue, pink and orange? 2. In what direction will each move? (Match colors to the direction vectors shown.) 3. By adjusting the sliders (and without using animation or trace), find the intersection of the lines. 4. Turn on Animation and Trace to check.