Geometric Demo of Vector Addition (Triangle Law)

This example demonstrates vector addition using the triangle law: by placing vectors u and v head-to-tail, the resulting vector w is obtained as w = u + v, reflecting both magnitude and direction through a clear geometric construction. Key concepts include vector addition, transformation via translation, and the triangle law that converts a sequential arrangement of vectors into a single resultant vector. Construction approach in GeoGebra: Vector is used to create the vector objects (e.g., u, v, w and related vectors), Translate is applied to reposition vectors so they share the required orientation/placement (head-to-tail or same-origin comparison), and Midpoint is used to obtain essential auxiliary points for structure and verification. The scene includes points (such as A and B), multiple vector and helper objects, plus text labels (text1–text8) and interactive controls (button1, bool) to guide step-by-step visualization. Suitable for middle school through early university learners, especially for instruction and hands-on exploration of vector geometry.