Stage 29 · Spatial Vectors & Solid Geometry

29.5.1 The Projection of a Vector

29.5 Computing Distances with Vectors — Point-to-Plane and Full Modeling

Point 1 of 6

29.5.1 The Projection of a Vector

Core idea

Cast one arrow's shadow onto another, and the length of that shadow is the projection of a in the direction of b.

Module goal. Use the idea of projection to find the distance from a point to a plane, pull together the full routine of setting up axes, assigning coordinates, and finding vectors, and pave the way for the next stage where analytic geometry makes geometry fully algebraic.
eastmath.com · 29.5 Computing Distances with Vectors — Point-to-Plane and Full Modeling · 29.5.1 The Projection of a Vector