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Geometric Vector Subtraction Demo

Geometric Vector Subtraction Demo
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2017-02-15 16:01
VectorCoordinate GeometryGeometric Construction
This example demonstrates the geometric meaning of vector subtraction, showing how to represent the vector from the end of vector B to the end of vector A. Core math concepts include vectors, coordinates, difference, slope, and rotation. It utilizes GeoGebra commands/objects like Mirror, Dilate, Vector, Translate, Rotate, and Textfield as outlined in the construction summary. Suitable for high school students learning vectors and geometry, helping them visualize vector operations.

GeoGebra Commands & Parameters

  1. Mirror(B, A) → B'_1
  2. Dilate(A, If[0 < a ≤ 1, 1 - a, 0], C) → A'_1
  3. Vector(A, A'_1) → w
  4. Translate(B'_1, w) → F
  5. Vector(A, B) → v
  6. Vector(A, C) → u
  7. Rotate(C, If[0 < a ≤ 1, ((a * 180))°, 180°], A) → C'
  8. Dilate(A, If[1 < a < 2, 2 - a, 1], B) → A'
  9. Vector(A, A') → b
  10. Rotate(C, 180°, A) → C'_1
  11. Translate(C'_1, b) → D
  12. Translate(C'_1, v) → E
  13. Vector(A, E) → f
  14. Textfield() → InputBox1
  15. Translate(B, w) → B'
  16. Vector(A'_1, B') → c
  17. Dilate(A, If[1 < a ≤ 2, 2 - a, 0], F) → A'_2
  18. Vector(A, A'_2) → d
  19. Vector(A, B) → e
  20. Dilate(A, If[0 < g ≤ 1, 1 - g, 0], B) → A'_3
  21. Vector(A, A'_3) → h
  22. Translate(C, h) → C'_2
  23. Vector(A, C) → j
  24. Dilate(A, If[1 < g ≤ 2, 2 - g, 0], C'_2) → A'_4
  25. Dilate(A, If[-1 < a ≤ 0, (-a), 0], B'_1) → A'_5
  26. Vector(A, A'_5) → l
  27. Vector(A'_1, F) → m
  28. Vector(A, B'_1) → n
  29. Mirror(C, A) → C'_3
  30. Dilate(A, If[-1 < g ≤ 0, (-g), 0], C'_3) → A'_6
  31. Vector(A, A'_6) → i
  32. Vector(A, C'_3) → p
  33. Translate(A'_6, h) → G
  34. Vector(A'_3, G) → q
  35. Dilate(A, If[1 < g ≤ 2, 2 - g, 0], G) → A'_7
  36. Vector(A, A'_7) → k