Adding Vectors: Parallelogram and Triangle Law Interactive Demo

① This GeoGebra example interactively demonstrates the addition of two vectors u and v, showing the geometric meaning of the resultant vector w. ② Core mathematical concepts include vector addition via the parallelogram law (forming a parallelogram with u, v, and their translated segments) and the triangle law (placing vectors head-to-tail), involving vectors, lines, intersections, and segments. ③ Construction details: uses Vector command to create u and v, Line to draw auxiliary lines, Intersect to find point C, Segment to connect edges, and text1-text5 labels to annotate vector names and results, allowing dynamic manipulation. ④ Suitable for high school or early college students learning vector operations, and for teachers demonstrating vector addition visually, reinforcing the connection between geometric intuition and algebraic rules, and preparing for topics like vector decomposition and linear combinations.