Geometric Addition of 2D Vectors via Construction

This example demonstrates how to geometrically add two 2D vectors by constructing the resultant (sum) as a new vector based on their directions and magnitudes. It focuses on the key ideas of vector addition—especially the geometric interpretation behind combining vectors (e.g., parallelogram/translation viewpoint)—and how to locate the correct endpoints using intersection points. The construction uses GeoGebra commands such as Intersect, Vector, Circle, and Line to determine intermediate points and to build the final vectors. Objects referenced (e.g., O, V, U, and auxiliary points like u, v, w, D, a–j, E, F, etc.) are used to represent endpoints, constructed points, and intermediate steps, culminating in the resultant vector configuration. Suitable for middle school to early high school students learning vectors and geometric construction, and for interactive classroom demonstrations or self-study to build intuition for the vector addition rule.