Vectors and Points 2

Coordinates of vectors roaming around the plane

Suppose V is a vector with its tail at point a and its head at b, and V0 is the same vector when its tail is at the origin. What is the relation between the coordinates of V and those of V0?

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 p0 is the head of V0 then the coordinates of p0 are the differences of the coordinates of b and a. Check it out!

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