This shows 3 different vector equations given 2 points (P_1 and P_2) in different directions and at different speeds.
First, play around with t and see how it changes the terminal point on the line. [There is a play/pause button at the bottom left corner].
Second, you can change the vector equations that are displayed by clicking on buttons next to vectors.
What are the speeds of each vector equation?

After you are done, you may find it useful to change the initial points P_1 and P_2. You can change them by clicking down and moving them.