Rotation Distributes Over Addition Demonstration
Loading the math board and drawing, please wait…
This example dynamically demonstrates the distributive property of rotation over vector addition, integrating concepts of vectors, angles, geometric transformations, and polygons (like rhombus). It uses GeoGebra commands like Vector, Angle, and objects A, v1, B, v2, u, v, v_sum, T, m, C, D, v3, v4, v_sum2, β. Suitable for high school and above learners to understand the combination of linear transformations and vector operations.
GeoGebra Commands & Parameters
Vector(A) → v_{1}Vector(B) → v_{2}Vector(A, A + B) → uVector(B, B + A) → vVector(A + B) → v_{sum}Vector(C) → v_{3}Vector(D) → v_{4}Vector(C + D) → v_{sum2}Angle(v_{sum}, v_{sum2}) → β