Stage 29 · Spatial Vectors & Solid Geometry
29.5.3 Point-to-Line and Line-to-Plane Distances
29.5 Computing Distances with Vectors — Point-to-Plane and Full Modeling
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29.5.3 Point-to-Line and Line-to-Plane Distances
Core ideaWhen things are parallel, take the point-to-plane distance of any one point, which reduces line-to-plane and plane-to-plane distances to a point-to-plane distance.
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.