Stage 29 · Spatial Vectors & Solid Geometry
29.5.2 The Distance from a Point to a Plane
29.5 Computing Distances with Vectors — Point-to-Plane and Full Modeling
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29.5.2 The Distance from a Point to a Plane
Core ideaRun a segment from the point to the plane and measure its projection along the normal n, giving d=|AP·n|/|n|.
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.