Intersection of Two Planes and Their Geometric Relations

This GeoGebra example demonstrates the intersection line of two planes in 3D space, along with the angle between their normal vectors and related geometric relationships. It visualizes how two planes intersect along a line and how the dihedral angle relates to the angle between normals. Core mathematical concepts include spatial analytic geometry, plane equations, normal vectors, line of intersection, vector angles, and dihedral angles. The construction uses the IntersectPath command to generate the intersection line L, Vector commands to create normal vectors n_1 and n_2, Angle to measure the angle θ between normals, and LaTeX text objects (text1 to text10) to dynamically display angle values and formulas. Auxiliary points A, B, C, D and additional planes α, β, g are constructed to clarify spatial relationships. This resource is suitable for high school or early college students learning solid geometry, and serves as an interactive teaching aid for understanding plane intersections and normal-vector-based angle calculations.