2D Vector Components from Endpoint Coordinates

This example demonstrates—using a “components triangle” construction—how to compute the x- and y-components of a 2D vector when the coordinates of its endpoints are given. It centers on the mathematical ideas of vector decomposition, coordinate representation of vectors, constructing component relationships geometrically, and connecting those constructions to the corresponding algebraic formulas. The GeoGebra build uses Polygon to define the key geometric shape, PointIn and Vector to create and manage vector-related objects, Translate to reposition vectors for component reading, and Midpoint to locate important points. It also employs Segment to display the triangle sides/legs used as components, and If for conditional visibility and logic in the construction. Sliders and controls (e.g., translation/animation options) enable interactive observation of how the components change as endpoints move. Suitable for secondary school vector/coordinate geometry lessons and for early university prep focusing on vector components and geometric intuition.