MathPlotAI Logo MathPlotAI

Vector Subtraction Illustrated Dynamically

Vector Subtraction Illustrated Dynamically
Loading the math board and drawing, please wait…
2018-02-08 00:19
VectorTrigonometryGeometric Construction
This example demonstrates vector subtraction dynamically. Key mathematical concepts include vectors and trigonometric functions. Using GeoGebra commands such as Mirror, Dilate, and Vector, the transformation and subtraction of vectors are visually illustrated. Suitable for high school mathematics education and learning.

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

AI Drawing Prompt Reference

Draw a dynamic example of vector subtraction, including vectors A and B and their mirror image B'. Use scaling and rotation operations to demonstrate vector transformation and subtraction. Start by creating vectors A and B, then use mirroring and scaling to show vector subtraction, and finally use rotation and mirroring to further transform the vectors, ultimately demonstrating the result of vector subtraction.
The prompt above was compiled from the original drawing commands and is for reference only.