Geometric Construction of Vector Addition by Ramon Pereira da Silva

This example demonstrates, in the plane, how to add two vectors and obtain the resultant vector’s direction and magnitude through geometric construction. It centers on vector addition (head-to-tail rule), the idea that vectors are equivalent up to translation, and the use of transformations to build controlled vector copies. The construction uses GeoGebra commands such as Vector to create the initial vectors, Rotate to adjust their orientations, Dilate to scale their lengths, and Translate to reposition them consistently. A Textfield is used to display or input parameters and key quantities, while multiple derived objects (e.g., labeled variants of points/vectors with prime marks and subscripts) are generated to compare the constructed intermediate vectors with the final resultant. Suitable for middle and high school students and early university learners, as well as for classroom demonstrations and geometry-based vector exercises.