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Chapter 1 Vectors Assessment Question

Chapter 1 Vectors Assessment Question
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2019-09-12 15:59
VectorTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates vector operations, geometric transformations, tangent functions, and coordinate geometry in the context of vectors and orthocenters. It uses commands like Random, Element, Vector, and If to create interactive models. Suitable for high school mathematics education and geometric construction practice.

GeoGebra Commands & Parameters

  1. Random(2, 4) → i
  2. Random(1, 4) → pick
  3. Element(s, pick) → h
  4. Element(t_1, pick) → a_1
  5. Random(-1, 2) → f
  6. Random(2, 4) → r
  7. Random(1, 3) → a
  8. Random(5, 6) → b
  9. Random(9, 10) → d
  10. Random(2, 5) → c
  11. Vector(A, B) → u
  12. Vector(F, E) → w
  13. Vector(B, F) → v
  14. Vector(A, E) → V_r
  15. Textfield(ac) → InputBox3
  16. Textfield(ad) → InputBox4
  17. Textfield(ae) → InputBox5
  18. Textfield(af) → InputBox6
  19. Textfield(aa) → InputBox1
  20. Textfield(ab) → InputBox2
  21. Element(t, pick) → text3
  22. Textfield(ag) → InputBox7
  23. Textfield(ah) → InputBox8
  24. Random(0, 1) → f_2
  25. Random(1, 4) → pick_1
  26. Element(s_1, pick_1) → h_2
  27. Random(4, 5) → a_2
  28. Random(8, 15) → d_2
  29. Textfield(ae) → InputBox5_1
  30. Textfield(af) → InputBox6_1
  31. Random(0, 1) → f_3
  32. Random(1, 4) → pick_2
  33. Element(s_2, pick_2) → h_3
  34. Random(4, 5) → a_3
  35. Random(8, 15) → d_3
  36. Textfield(ae) → InputBox5_2
  37. Textfield(af) → InputBox6_2
  38. Random(0, 1) → f_4
  39. Random(1, 4) → pick_3
  40. Element(s_3, pick_3) → h_4
  41. Random(4, 5) → a_4
  42. Random(8, 15) → d_4
  43. Textfield(ae_1) → InputBox5_3
  44. Textfield(af_1) → InputBox6_3
  45. Random(0, 1) → f_5
  46. Random(1, 4) → pick_4
  47. Element(s_4, pick_4) → h_5
  48. Random(4, 5) → a_5
  49. Random(8, 15) → d_5
  50. Textfield(ae_2) → InputBox5_4
  51. Textfield(af_2) → InputBox6_4
  52. If(ae ≟ n ∧ af ≟ o, "Good Job!", "Try Again") → text2
  53. If(ab ≟ k ∧ aa ≟ j, "Good Job!", "Try Again") → text2_4
  54. If(ac ≟ l ∧ ad ≟ m, "Good Job!", "Try Again") → text2_1
  55. If(ag ≟ h_1 ∧ ah ≟ i_1, "Good Job!", "Try Again") → text2_3

AI Drawing Prompt Reference

Draw a geometric figure involving vector operations, including vectors u, w, v, and V_r, and their relationships. First, randomly generate the start and end points for vectors u and w, then create vectors v and V_r based on random numbers. Make sure vector v goes from B to F, and V_r goes from A to E.
The prompt above was compiled from the original drawing commands and is for reference only.