Span of 2 Vectors (Version Two)

This example visualizes the span of two vectors in the plane, showing the set of all points obtained by linear combinations of the two given vectors. It illustrates core concepts of linear algebra: linear combination, span, and linear dependence/independence. The construction uses GeoGebra's Vector command to define vectors a and b, with a slider parameter r controlling the combination coefficient, generating a dynamic point D that traces the span region (a line or the whole plane). Suitable for high school or early college linear algebra courses, it provides an intuitive geometric understanding of vector spaces. The construction summary lists objects a, A, u, b, B, v2, C, v, r, D, where r is the parameter and D is the combination point, emphasizing interactive exploration.