Stage 29 · Spatial Vectors & Solid Geometry

29.3 Seeing Parallel and Perpendicular with Vectors — Direction and Normal Vectors

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.

6 knowledge points

Knowledge point pages

29.3.1 The Direction Vector of a Line 29.3.2 The Normal Vector of a Plane 29.3.3 Finding a Plane's Normal Vector 29.3.4 Testing Parallelism with Vectors 29.3.5 Testing Perpendicularity with Vectors 29.3.6 Combined Proofs of Parallel and Perpendicular

eastmath.com · 29.3 Seeing Parallel and Perpendicular with Vectors — Direction and Normal Vectors