Vector Addition: Triangle and Parallelogram Law

① This GeoGebra example dynamically demonstrates the addition of two vectors u and v, visually illustrating both the triangle law (head-to-tail) and the parallelogram law (diagonal) of vector addition. ② The core mathematical concept is vector addition, including geometric representation, initial and terminal points, and the commutative property. ③ Construction highlights: uses the Intersect command to find intersection points and Vector command to create vectors; objects include points A, C, vectors v, u, and the resultant vector w; dragging points or sliders changes vector magnitudes and directions to observe the resultant. ④ Suitable for high school or early college students learning vector geometry, and for teachers to demonstrate in class, helping students grasp the geometric meaning of vector addition and prepare for topics like vector decomposition and force composition in physics.