Suppose V is a vector with its tail at point a and its head at b, and V_{0}is the same vector when its tail is at the origin. What is the relation between the coordinates of V and those of V_{0}?Try moving points a, b, and vector V, and see how the coordinates change.

Use Tabulate to make a list of the coordinates at various positions. See if you can figure out the rule.

The rule: If p

_{0}is the head of V_{0}then the coordinates of p_{0}are the differences of the coordinates of b and a. Check it out!