MathPlotAI Logo MathPlotAI

Geometric Vector Addition

Geometric Vector Addition
Loading the math board and drawing, please wait…
2017-12-04 07:13
VectorGeometric Construction
In collections Vector Operations
This example demonstrates the dynamic and modifiable interactive process of adding vectors geometrically. It involves core math concepts like vector addition, geometric representation, and linear combinations. Constructed using GeoGebra commands/objects such as Intersect, Dilate, Vector, Distance, and Textfield. Suitable for high school and above students to learn vector operations and geometric interpretations.

GeoGebra Commands & Parameters

  1. Intersect(f, g) → C
  2. Dilate(A, If[0 < a ≤ 1, 1 - a, 0], C) → A'
  3. Vector(A, A') → u
  4. Dilate(C, If[1 < a ≤ 2, 2 - a, 0], B) → C'
  5. Vector(C, C') → v
  6. Distance(A, C) → distanceAC
  7. Distance(C, B) → distanceCB
  8. Dilate(A, If[2 < a ≤ 3, 3 - a, 0], B) → A'_1
  9. Vector(A, A'_1) → w
  10. Distance(A, B) → distanceAB
  11. Textfield(n) → InputBox1
  12. Textfield(i) → InputBox2
  13. Textfield(d) → InputBox3
  14. Textfield(e) → InputBox4
  15. Dilate(E, If[3 < a ≤ 4, 4 - a, 0], G) → E'
  16. Vector(E, E') → h
  17. Dilate(G, If[4 < a ≤ 5, 5 - a, 0], F) → G'
  18. Vector(G, G') → j
  19. Distance(E, G) → distanceEG
  20. Distance(G, F) → distanceGF
  21. Dilate(E, If[5 < a ≤ 6, 6 - a, 0], F) → E'_1
  22. Vector(E, E'_1) → k
  23. Dilate(A, If[0 < l ≤ 1, 1 - l, 0], F) → A'_2
  24. Vector(A, A'_2) → m