Geometric Construction of Vector Subtraction in 2D

This example demonstrates vector subtraction in a 2D plane by constructing the geometric configuration that realizes “a − b” using the corresponding vector endpoints. It highlights the key idea that subtracting a vector is equivalent to adding its opposite, which can be visualized through translations of vectors. The construction centers on core concepts such as 2D vector representation, geometric interpretation of arithmetic operations on vectors, and endpoint determination using intersections of geometric loci. It is built with GeoGebra commands including Intersect (to find key endpoints), Vector (to represent directed segments), Circle and Line (to define constraint sets for endpoint placement), and Translate (to perform the vector shift that implements the subtraction relation). Suitable for middle school through early university, especially for teaching vector operations, coordinate/geometry connections, and geometric transformations.