Point-Plane Distance with Vectors

This example demonstrates how to calculate the distance from a point to a plane in space using GeoGebra. Core mathematical concepts include vectors, the positional relationship between a point and a plane, and orthogonal projection. Key GeoGebra commands used are PointIn for point positioning, OrthogonalLine for constructing perpendicular lines, Intersect for finding intersection points, and Distance for calculating the distance, with TextBC and other objects to display results. Suitable for high school analytic geometry teaching, helping students understand the application of vectors in geometric problems.