Stage 29 · Spatial Vectors & Solid Geometry

29.4.4 Finding a Dihedral Angle with Normal Vectors

29.4 Measuring Angles with Vectors — Line–Plane and Dihedral Angles

Point 4 of 5

29.4.4 Finding a Dihedral Angle with Normal Vectors

Core idea

Compute cosθ between the two normal vectors, then read the picture to decide whether to keep that angle or take its supplement.

Module goal. Use the angle formulas for direction and normal vectors to turn abstract spatial angles into coordinate calculations, working out angles between lines, between a line and a plane, and dihedral angles in a systematic way.
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