Two Planes: Intersection and Parametric Representation

This example demonstrates the spatial relationship between two planes and their intersection, using parametric curves and vector tools to visualize the geometric structure. Core mathematical concepts include plane equations, normal vectors, parametric equations, vector operations, and solving for the line of intersection. Construction highlights: GeoGebra commands such as PointIn to place points on planes, Vector to define direction vectors, CurveCartesian to generate parametric curves representing the intersection line or paths on planes, and Factors to decompose expressions; objects include points A and B, vectors u and v, planes a and b, multiple matrices (matrix1 to matrix9) possibly for coordinate transformations or linear combinations, and text objects text1 and text2 for labeling. Suitable for high school solid geometry or college analytic geometry courses, helping students understand parametric representation of planes and spatial vector applications.