Geometric Construction of Vector Addition

This example demonstrates vector addition using a clear geometric construction and uses the idea to define basic vectors. It focuses on vector concepts such as magnitude and direction, translating vectors to a convenient position, and computing sums by the head-to-tail (tip-to-tail) method. The construction uses GeoGebra commands including Vector, Segment, and Point to create vectors and key points; Translate to move vectors and obtain equivalent vectors positioned for addition (e.g., producing objects like TransUV/TransVU and corresponding translated endpoints such as C′, D′, A′, B′); and If for conditional logic to manage steps. Interactive elements (buttons and text via Show/Show_1/Show_2) help visualize the incremental process. Suitable for middle school through introductory university courses, especially for lessons on vectors and linear/translation-based relationships.