Span of Two Vectors in R^3
Loading the math board and drawing, please wait…
This example demonstrates the span of two vectors in three-dimensional space, showing all possible linear combinations. Key math concepts include vectors, linear combinations, span, and 3D geometry. It uses GeoGebra commands like Intersect, Vector, Point, and Plane to construct the visualization. Suitable for high school and above students learning vector spaces, linear algebra, and 3D geometry, or for educational purposes.
GeoGebra Commands & Parameters
Intersect(yAxis, zAxis) → CVector(C, A) → uVector(C, B) → vPoint(xAxis) → DPlane(D, A, B) → a