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Vector Equation of a Line from 2 points

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?