Vector Addition Dynamic Demonstration: Parallelogram and Triangle Laws

This GeoGebra example interactively demonstrates the addition of two vectors u and v, illustrating the geometric meaning of vector addition. Core mathematical concepts include vector addition via the parallelogram law and triangle law, along with vector rotation and angle measurement. Construction highlights: the Rotate command is used to adjust vector directions, the Vector command creates vectors u and v, the Angle command constructs and displays relevant angles θ, α, β, and sliders show_R, show_d, show_p control the visibility of auxiliary elements such as diagonals, parallelograms, and projections. Suitable for high school or early college students learning vector operations and geometric intuition, as well as for teachers demonstrating vector addition properties in class or for students' self-exploration.