x scale ellipse: Ellipse scaling and vector analysis

This example demonstrates the geometric properties of an ellipse under scaling transformations and combines vector analysis to explore direction and magnitude. Key mathematical concepts include ellipse equations, scaling transformations, vector operations, and coordinate geometry. Construction involves GeoGebra commands such as showellipse, showcirc, and Vector to create ellipse and vector graphics. Suitable for high school students or college undergraduates learning analytic geometry and vector applications.