Vector Addition by RV'SMath

Vector Addition by RV'SMath
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2016-09-04 01:31
This example demonstrates the process of vector addition. Key mathematical concepts include the geometric representation and addition of vectors. Using GeoGebra commands such as Vector, Segment, and Polygon, the geometric meaning of vector addition is visually illustrated. Suitable for students at the middle school level and above to learn basic vector operations.

GeoGebra Commands & Parameters

  1. Vector((1, 0), (1, b)) → c
  2. Vector((0, 0), (1, b)) → d
  3. Vector((1, b), ((3 * b), 0)) → e
  4. Vector((0.5, 0), (0.5, b / 2)) → f
  5. Point(e) → A
  6. Point(f) → B
  7. Segment(B, A) → g
  8. Segment(B, A) → i
  9. Segment(E, B) → j
  10. Point(c) → G
  11. Point(c) → F
  12. Segment(F, G) → k
  13. Point(Circle[A, 0.5]) → D
  14. Segment(A, D) → h
  15. Point(e) → H
  16. Point(d) → I
  17. Segment(I, H) → l
  18. Point(l) → J
  19. Distance(I, H) → distanceIH
  20. Segment(J, G) → m
  21. Segment(G, F) → n
  22. Segment(F, H) → p
  23. Segment(I, F) → q
  24. Intersect(i, k) → K
  25. Polygon(H, J, A) → poly1, a_1, h_1, j_1
  26. Polygon(A, K, F) → poly2, f_1, a_2, k_1
  27. Polygon(E, I, B) → poly3, b_1, e_1, i_1
  28. Polygon(K, B, F) → poly4, f_2, k_2, b_2
  29. Segment(K, A) → r
  30. Segment(K, B) → s
  31. Point(Circle[F, 1]) → P
  32. Segment(F, P) → m_1
  33. Segment(Q, R) → n_1
  34. Angle(F, H, I) → α
  35. Vector(Z, A_1) → u
  36. Segment(B_1, C_1) → r_1
  37. Segment(D_1, E_1) → s_1
  38. Point(l) → F_1
  39. Segment(F_1, G_1) → p_1
  40. Intersect(l, q) → H_1
  41. Segment(H_1, I_1) → q_1
  42. Intersect(l, r_1) → J_1
  43. Segment(J_1, K_1) → t_1
  44. Point(q_1) → L_1
  45. Point(p_1) → M_1
  46. Segment(L_1, M_1) → c_1
  47. Point(q_1) → N_1
  48. Point(p_1) → O_1
  49. Segment(N_1, O_1) → d_1
  50. Point(l) → P_1
  51. Segment(P_1, Q_1) → g_2
  52. Segment(R_1, S_1) → h_2
  53. Segment(T_1, U_1) → i_2
  54. Segment(V_1, W_1) → j_2
  55. Segment(Z_1, A_2) → l_2
  56. Segment(B_2, C_2) → g_1
  57. Point(m_1) → D_2
  58. Segment(D_2, E_2) → l_1
  59. Intersect(l, p) → F_2
  60. Segment(F_2, G_2) → m_2
  61. Segment(E_2, G_2) → n_2
  62. Segment(H_2, I_2) → p_2
  63. Segment(J_2, K_2) → q_2