Vector Addition: Parallelogram Law Interactive Demo

This GeoGebra example demonstrates the geometric addition of two vectors u and v, producing the resultant vector w = u + v, using the parallelogram law. The core mathematical concept is vector addition, a fundamental operation in linear algebra and coordinate geometry. The construction involves creating points A, B, and C with the Point tool, defining vectors u (from A to B) and v (from A to C) using the Vector tool, then using the Intersect command to find point D, the opposite vertex of the parallelogram formed by AB and AC. Finally, Segment tool connects the relevant edges to visualize the parallelogram. This interactive applet is suitable for high school or introductory college students learning vector operations, and serves as an effective teaching aid for instructors to illustrate the geometric interpretation of vector sums, bridging visual intuition with algebraic computation.