Graphical Addition of Vectors: Triangle and Parallelogram Law

① This GeoGebra example demonstrates the graphical addition of two vectors (u and v) using the triangle law and parallelogram law, showing the resultant vector (Resultant) in a dynamic geometric construction. ② Core mathematical concepts include vector addition, vector decomposition, right triangles, distance measurement, and applications of vectors in geometric distribution and statistics. ③ Construction details: The example uses GeoGebra commands such as Intersect, Point, OrthogonalLine, Vector, and Distance to create points B, C, D, E, F, G, lines f and g, vectors u, v, w, distance objects distanceBA, distanceAF, distanceFG, text labels TextBA and TextAF, and finally the resultant vector a. ④ Suitable for high school and early college students learning vector operations, geometric construction, and mathematical visualization, as well as for teachers demonstrating the geometric meaning of vector addition in class.