Vector Addition: Parallelogram and Triangle Law Demonstration

①This GeoGebra example dynamically demonstrates the addition of two vectors u and v to produce a resultant vector w, visually illustrating the geometric meaning of vector addition. ②Core mathematical concepts include vector addition via the triangle law (head-to-tail) and parallelogram law (common origin, diagonal), along with vector translation, collinearity, magnitude, and direction. ③Construction highlights: using GeoGebra's Intersect command to create intersection points, Vector command to define vectors u, v, and w, with points A, B, C as endpoints; dragging points or sliders allows real-time observation of how the sum changes. ④Suitable for high school or early college mathematics, ideal for intuitive understanding of vector operations, geometric construction practice, and as a supplementary tool for physics force composition and resolution.