Stage 29 · Spatial Vectors & Solid Geometry

29.2.2 Orthonormal Bases and Unit Vectors

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

Point 2 of 6

29.2.2 Orthonormal Bases and Unit Vectors

Core idea

Choose three mutually perpendicular unit arrows i, j, k, and assembling vectors from them is as tidy and effortless as it gets.

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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