Direction Cosines Demonstration

This example demonstrates the relationship between the direction cosines of a point P in space and its position vector. It involves core mathematical concepts such as vectors, points, angles, direction cosines, and spheres. The construction uses GeoGebra commands/objects like Vector, Point, and Angle to create points O, P, vector u, and angles α, β, γ. Suitable for high school and above students learning vectors, spatial geometry, and the direction cosine theorem.