Stage 29 · Spatial Vectors & Solid Geometry
29.3.4 Testing Parallelism with Vectors
29.3 Seeing Parallel and Perpendicular with Vectors — Direction and Normal Vectors
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29.3.4 Testing Parallelism with Vectors
Core ideaDirection vectors being multiples means parallel lines, normal vectors being multiples means parallel planes — both are just collinearity speaking.
Module goal. Translate lines and planes into two handy "keys," the direction vector and the normal vector, and use vectors being collinear or perpendicular to settle parallelism and perpendicularity among lines and planes.