Stage 29 · Spatial Vectors & Solid Geometry

29.2.3 The 3D Coordinate System

29.2 Putting a Coordinate Grid on Space — The Basis Theorem and Coordinates

Point 3 of 6

29.2.3 The 3D Coordinate System

Core idea

Treat the three edges at a corner as the x, y, and z axes, and every point in space gets its own three labels (x,y,z).

Module goal. Use three non-coplanar vectors as a "skeleton" to describe every vector in space, then set up a 3D coordinate system that turns both vectors and points into three numbers, laying the groundwork for the calculations ahead.
eastmath.com · 29.2 Putting a Coordinate Grid on Space — The Basis Theorem and Coordinates · 29.2.3 The 3D Coordinate System