Intro to Vector Addition Commutative Law

① This GeoGebra example demonstrates the commutative property of vector addition (u+v = v+u) through an interactive geometric construction. ② The core mathematical concept is vector addition and its commutativity, visualized via the parallelogram or triangle rule. ③ Construction details: based on the summary, it uses the Vector command to create vectors u, v, and w, and the Segment command to connect points O, A, B, etc., forming a geometric framework. Text objects (text1, text2) label the results, and dragging points A or B changes the vectors' magnitudes and directions, allowing real-time observation of the resultant vector w. ④ Suitable for high school or early college students learning vector basics, and for teachers to demonstrate the geometric proof of the commutative law in vector addition.