C4 Vectors: Line and Plane Intersection

This GeoGebra example demonstrates the geometric relationship between a line and a plane in 3D space, focusing on finding their intersection point using vector methods. Core mathematical concepts include vector linear combinations, parametric equations of lines, plane normal vectors, and solving for intersection parameters. The construction uses the Line command to define the line, Intersect to compute the intersection with the plane, and objects such as A, a, b, B, c, u, d, C to represent vectors and planes, with text1 and text2 displaying results. It is ideal for A-Level Mathematics (C4 module) or pre-university students learning vector geometry, providing an interactive visual aid for understanding algebraic representations and spatial reasoning. Suitable for classroom demonstrations or self-study.