Vector and Ellipse Interaction Demo

This example demonstrates the interaction of vectors on an ellipse and the changes in their trajectories. Core math concepts include vector operations, ellipse equations, parametric equations, and piecewise functions. Construction highlights involve using GeoGebra commands like Vector for objects c, b, D, C, v, B, A, u, w, X, a, and Locus for tracing paths. Suitable for high school students and above studying vectors, analytical geometry, and parametric equations, as well as for math competition preparation.