Geometric Construction for Subtracting Vectors (2)

This example visually demonstrates how vector subtraction can be represented geometrically as adding the opposite vector, letting learners track the resulting direction and position in the plane. The key math ideas include vector representation and operations (subtraction via inverse vectors), constructing orthogonal lines, determining intersection points, and using line segments and midpoints to organize the geometry. Construction-wise, GeoGebra generates vectors (Vector) tied to key points, builds auxiliary perpendicular lines (OrthogonalLine), finds required points using intersections (Intersect), and uses segments and their midpoints (Segment, Midpoint) to obtain intermediate geometric locations that support the vector-sum/subtraction interpretation. The figure is centered on points such as B, A, O and vectors such as u and v, with additional labeled intersections and derived points to clearly show how the subtraction result emerges from the constructed configuration. Suitable for middle/high school and early university instruction, especially for teaching the geometric meaning of vector operations and supporting intuitive understanding through dynamic diagrams.