Stage 29 · Spatial Vectors & Solid Geometry

29.2.4 Coordinates of a Vector and Coordinate Operations

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

Point 4 of 6

29.2.4 Coordinates of a Vector and Coordinate Operations

Core idea

Split an arrow along i, j, k and record it as (x,y,z); then adding, subtracting, and scaling are just done component by component.

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.

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