3.3 Coordinate Systems and Vector Components

Vectors do not require a coordinate system. We can add and subtract vectors graphically, and we will do so frequently to clarify our understanding of a situation. But the graphical addition of vectors is not an especially good way to find quantitative results. In this section we will introduce a coordinate representation of vectors that will be the basis of an easier method for doing vector calculations.

A schematic diagram of a map on a mobile screen. — A GPS uses satellite signals to find your position in the earth’s coordinate system with amazing accuracy.