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Vector Addition Demonstration by Jereme Scheufler

Vector Addition Demonstration by Jereme Scheufler
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2017-03-02 01:53
VectorTransformationGeometric Construction
This example demonstrates the process of vector addition. The key mathematical concept involved is vector addition. Using GeoGebra commands such as Vector, Rotate, Dilate, and Translate, the geometric meaning of vector addition is visually illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(A, B) → v
  2. Vector(A, C) → u
  3. Rotate(C, If[0 < a ≤ 1, ((a * 180))°, 180°], A) → C'
  4. Dilate(A, If[1 < a < 2, 2 - a, 1], B) → A'
  5. Vector(A, A') → b
  6. Rotate(C, 180°, A) → C'_1
  7. Translate(C'_1, b) → D
  8. Translate(C'_1, v) → E
  9. Vector(A, E) → f
  10. Textfield() → InputBox1
  11. Dilate(A, If[0 < a ≤ 1, 1 - a, 0], C) → A'_1
  12. Vector(A, A'_1) → w
  13. Translate(B, w) → B'
  14. Vector(A'_1, B') → c
  15. Dilate(A, If[1 < a ≤ 2, 2 - a, 0], B') → A'_2
  16. Vector(A, A'_2) → d
  17. Vector(A, B) → e
  18. Dilate(A, If[0 < g ≤ 1, 1 - g, 0], B) → A'_3
  19. Vector(A, A'_3) → h
  20. Translate(C, h) → C'_2
  21. Vector(A'_3, C'_2) → i
  22. Vector(A, C) → j
  23. Dilate(A, If[1 < g ≤ 2, 2 - g, 0], C'_2) → A'_4
  24. Vector(A, A'_4) → k

AI Drawing Prompt Reference

Draw two vectors u and v, then demonstrate the process of vector addition through a series of rotations, dilations, and translations. Start by creating vectors u and v, then rotate point C to generate C', and dilate point A to create A' and vector b. Continue with a sequence of rotations and translations to build vectors f, w, c, d, e, h, i, j, and k, ultimately illustrating the geometric meaning of vector addition.
The prompt above was compiled from the original drawing commands and is for reference only.