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Vector Properties Demo

Vector Properties Demo
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2018-04-27 03:36
VectorFunctionCoordinate GeometryGeometric ConstructionSlider Animation
This example dynamically demonstrates vector properties including addition, scalar multiplication, and magnitude. It involves core math concepts like vector operations, linear functions, and coordinate geometry. Constructed using GeoGebra commands like Vector, Point, If, with objects such as l_2, k_1, w_1. Suitable for high school students and math enthusiasts exploring vector geometry.

GeoGebra Commands & Parameters

  1. Vector(l_2InitPt, l_2TermPt) → l_2
  2. Vector(k_2InitPt, k_2TermPt) → k_2
  3. Vector(n_1InitPt, n_1TermPt) → n_1
  4. Vector(f_1InitPt, f_1InitPt + (r * n_1)) → f_1
  5. Vector(wInitPt, wTermPt) → w
  6. Vector(w_1InitPt, w_1TermPt) → w_1
  7. Vector(k_1InitPt, k_1InitPt + k_2) → k_1
  8. Vector(k_1InitPt, k_1InitPt + (r * k_1)) → k_1ScaleMult
  9. Point(k_1InitPt, k_1ScaleMult) → k_1ScaleMultTermPt
  10. Vector(k_1InitPt + k_2, k_1InitPt + k_2 + l_2) → l_1
  11. Vector(l_1InitPt, l_1InitPt + (r * l_1)) → l_1ScaleMult
  12. Point(l_1InitPt, l_1ScaleMult) → l_1ScaleMultTermPt
  13. Vector(lInitPt, lTermPt) → l
  14. Vector(uInitPt, uTermPt) → u
  15. Vector(vInitPt, vTermPt) → v
  16. Vector(qInitPt, qTermPt) → q
  17. Vector(mInitPt, mTermPt) → m
  18. Vector(nInitPt, nTermPt) → n
  19. Vector(dInitPt, dTermPt) → d
  20. Vector(fInitPt, fTermPt) → f
  21. Vector(gInitPt, gTermPt) → g
  22. Vector(hInitPt, hTermPt) → h
  23. If(b, ¬c) → i
  24. If(b, ¬c) → j
  25. Vector(lInitPt, lTermPt + (r * l)) → lScaleMult
  26. Vector(pInitPt, pTermPt) → p
  27. Vector(u_1InitPt, u_1TermPt) → u_1
  28. Vector(v_1InitPt, v_1TermPt) → v_1
  29. Vector(a_1InitPt, a_1TermPt) → a_1
  30. Vector(b_1InitPt, b_1InitPt + v_1) → b_1
  31. Vector(c_1InitPt, c_1InitPt + w_1) → c_1
  32. Vector(g_1InitPt, g_1InitPt + (s * n_1)) → g_1
  33. Vector(p_1InitPt, p_1InitPt + ((r + s) * n_1)) → p_1
  34. Vector(C, C + (r * l)) → vScaleMult
  35. Vector(k_1InitPt, k_1InitPt + l_1 + k_1) → m_1
  36. Vector(m_1InitPt, m_1InitPt + (r * m_1)) → m_1ScaleMult
  37. Point(m_1InitPt, m_1ScaleMult) → m_1ScaleMultTermPt
  38. Vector(e_1InitPt, e_1TermPt) → e_1
  39. Vector(t_1InitPt, t_1TermPt) → t_1
  40. Vector(u_2InitPt, u_2TermPt) → u_2
  41. Vector(v_2InitPt, v_2TermPt) → v_2
  42. Vector(r_1InitPt, r_1TermPt) → r_1
  43. Vector(s_1InitPt, s_1TermPt) → s_1
  44. Vector(w_2InitPt, w_2TermPt) → w_2
  45. Vector(a_2InitPt, a_2TermPt) → a_2
  46. Vector(b_2InitPt, b_2TermPt) → b_2
  47. Vector(c_2InitPt, c_2TermPt) → c_2
  48. Vector(d_2InitPt, d_2TermPt) → d_2
  49. Vector(f_2InitPt, F) → f_2
  50. Vector(g_2InitPt, D) → g_2
  51. Vector(e_2InitPt, e_2InitPt + (s * d_2)) → e_2
  52. Vector(h_2InitPt, h_2InitPt + d_2) → h_2
  53. Vector(i_2InitPt, i_2TermPt) → i_2
  54. Vector(j_2InitPt, j_2TermPt) → j_2
  55. Vector(q_1InitPt, q_1InitPt + k_2) → q_1
  56. Vector(q_1InitPt, K + l_2) → m_2
  57. Vector(b_1InitPt, c_1TermPt) → p_2
  58. Vector(q_2InitPt, q_2InitPt + (r * m_2)) → q_2
  59. Vector(b_1InitPt, c_1TermPt) → r_2
  60. Vector(s_2InitPt, s_2InitPt + w_1) → s_2
  61. Vector(t_2InitPt, t_2InitPt + v_1) → t_2
  62. Point(s_2InitPt, w_1) → s_2TermPt
  63. Point(t_2InitPt, v_1) → t_2TermPt
  64. Vector(s_2InitPt, t_2TermPt) → u_3
  65. Vector(q_1InitPt + k_2, K + l_2) → n_2
  66. Vector(w_3InitPt, w_3InitPt + p) → w_3
  67. Point(w_3InitPt, p) → w_3TermPt

AI Drawing Prompt Reference

Create a dynamic illustration showing vector properties including addition, scalar multiplication, and magnitude. Include multiple vectors controlled by sliders, with points marking key positions. Start by drawing the base vectors, then generate new vectors through operations, adjust lengths with scalar multiplication, and finally combine all elements to display vector geometry properties.
The prompt above was compiled from the original drawing commands and is for reference only.