Chapter-12-1: Theorem Example

This example demonstrates the intersection properties of spheres and circles in three-dimensional space through vector operations, angle measurements, and geometric constructions. It involves core mathematical concepts such as vector calculations, angle measurement, sphere and circle equations in analytical geometry, and the interaction between vectors and geometric shapes. The construction uses GeoGebra commands/objects like Intersect (intersection points), Vector (vectors), Angle (angle measurement), Segment (line segments), and Text (labels). Suitable for high school students and above to understand the integration of spatial geometry, vectors, and analytical geometry.