Three Planes Intersection (with Parallel Cases)

This GeoGebra example demonstrates the geometric relationship when three planes intersect in 3D space, especially focusing on cases involving parallel planes. Core mathematical concepts include plane equations in spatial analytic geometry, methods to find intersection lines between planes, and properties of parallel planes. The construction uses Vector command to create normal vectors, Line command to draw intersection lines, Plane command to build adjustable planes, IntersectPath command to display intersection paths, and LaTeX to show plane equations. Ideal for high school and early college students learning spatial geometry or as a visual teaching tool for vector mathematics in 3D space.