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Vector Addition by Antonio Di Muro

Vector Addition by Antonio Di Muro
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2015-10-08 01:33
VectorCoordinate GeometryGeometric Construction
This example demonstrates vector addition using the parallelogram and triangle laws. It involves core math concepts like vectors, coordinate geometry, symmetry, derivatives, and confidence intervals. Constructed with commands like Vector, Point, LaTeX, and objects such as testo and points. Suitable for high school and above students learning vector operations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → a
  2. Vector(A_1, B_1) → b
  3. Vector(A_2, B_2) → f
  4. Vector(A_3, B_3) → e
  5. Vector(A_4, B_4) → d
  6. Vector(A_5, B_5) → c
  7. Vector(A, R) → w
  8. Point(a) → C
  9. Point(b) → D
  10. Point(c) → E
  11. Point(d) → F
  12. Point(e) → G
  13. Point(f) → H
  14. Vector(A_6, B_6) → a_1
  15. Point(a_1) → C_1
  16. LaTeX(If[ya ≟ 1 ∧ (xa ≠ 0), testo5 + testo8, If[ya ≟ 1 ∧ xa ≟ 0, testo8, If[ya ≟ -1, testo7 + testo8, If[(ya > 0) ∧ (xa ≠ 0), testo5 + testo4, If[(ya > 0) ∧ xa ≟ 0, testo4, If[ya < 0, testo7 + testo4, If[ya ≟ 0, testo49]]]]]]]) → testo13
  17. LaTeX(If[xa ≟ 1, testo9, If[xa ≟ -1, testo7 + testo9, If[xa > 0, testo3, If[xa < 0, testo7 + testo3, If[xa ≟ 0, testo49]]]]]) → testo10
  18. LaTeX(testo2 + testo10 + testo13) → testo14
  19. LaTeX(If[xb ≟ 1, testo9, If[xb ≟ -1, testo7 + testo9, If[xb > 0, testo19, If[xb < 0, testo7 + testo19, If[xb ≟ 0, testo49]]]]]) → testo29
  20. LaTeX(If[xc ≟ 1, testo9, If[xc ≟ -1, testo7 + testo9, If[xc > 0, testo21, If[xc < 0, testo7 + testo21, If[xc ≟ 0, testo49]]]]]) → testo30
  21. LaTeX(If[xd ≟ 1, testo9, If[xd ≟ -1, testo7 + testo9, If[xd > 0, testo23, If[xd < 0, testo7 + testo23, If[xd ≟ 0, testo49]]]]]) → testo31
  22. LaTeX(If[xe ≟ 1, testo9, If[xe ≟ -1, testo7 + testo9, If[xe > 0, testo25, If[xe < 0, testo7 + testo25, If[xe ≟ 0, testo49]]]]]) → testo32
  23. LaTeX(If[xf ≟ 1, testo9, If[xf ≟ -1, testo7 + testo9, If[xf > 0, testo27, If[xf < 0, testo7 + testo27, If[xf ≟ 0, testo49]]]]]) → testo33
  24. LaTeX(If[yb ≟ 1 ∧ (xb ≠ 0), testo5 + testo8, If[yb ≟ 1 ∧ xb ≟ 0, testo8, If[yb ≟ -1, testo7 + testo8, If[(yb > 0) ∧ (xb ≠ 0), testo5 + testo20, If[(yb > 0) ∧ xb ≟ 0, testo20, If[yb < 0, testo7 + testo20, If[yb ≟ 0, testo49]]]]]]]) → testo34
  25. LaTeX(If[yc ≟ 1 ∧ (xc ≠ 0), testo5 + testo8, If[yc ≟ 1 ∧ xc ≟ 0, testo8, If[yc ≟ -1, testo7 + testo8, If[(yc > 0) ∧ (xc ≠ 0), testo5 + testo22, If[(yc > 0) ∧ xc ≟ 0, testo22, If[yc < 0, testo7 + testo22, If[yc ≟ 0, testo49]]]]]]]) → testo35
  26. LaTeX(If[yd ≟ 1 ∧ (xd ≠ 0), testo5 + testo8, If[yd ≟ 1 ∧ xd ≟ 0, testo8, If[yd ≟ -1, testo7 + testo8, If[(yd > 0) ∧ (xd ≠ 0), testo5 + testo24, If[(yd > 0) ∧ xd ≟ 0, testo24, If[yd < 0, testo7 + testo24, If[yd ≟ 0, testo49]]]]]]]) → testo36
  27. LaTeX(If[ye ≟ 1 ∧ (xe ≠ 0), testo5 + testo8, If[ye ≟ 1 ∧ xe ≟ 0, testo8, If[ye ≟ -1, testo7 + testo8, If[(ye > 0) ∧ (xe ≠ 0), testo5 + testo26, If[(ye > 0) ∧ xe ≟ 0, testo26, If[ye < 0, testo7 + testo26, If[ye ≟ 0, testo49]]]]]]]) → testo37
  28. LaTeX(If[yf ≟ 1 ∧ (xf ≠ 0), testo5 + testo8, If[yf ≟ 1 ∧ xf ≟ 0, testo8, If[yf ≟ -1, testo7 + testo8, If[(yf > 0) ∧ (xf ≠ 0), testo5 + testo28, If[(yf > 0) ∧ xf ≟ 0, testo28, If[yf < 0, testo7 + testo28, If[yf ≟ 0, testo49]]]]]]]) → testo38
  29. LaTeX(testo12 + testo29 + testo34) → testo39
  30. LaTeX(testo15 + testo30 + testo35) → testo40
  31. LaTeX(testo16 + testo31 + testo36) → testo41
  32. LaTeX(testo17 + testo32 + testo37) → testo42
  33. LaTeX(testo18 + testo33 + testo38) → testo43
  34. LaTeX(If[xw ≟ 1, testo9, If[xw ≟ -1, testo7 + testo9, If[xw > 0, testo44, If[xw < 0, testo7 + testo44, If[xw ≟ 0, testo49]]]]]) → testo46
  35. LaTeX(If[yw ≟ 1 ∧ (xw ≠ 0), testo5 + testo8, If[yw ≟ 1 ∧ xw ≟ 0, testo8, If[yw ≟ -1, testo7 + testo8, If[(yw > 0) ∧ (xw ≠ 0), testo5 + testo45, If[(yw > 0) ∧ xw ≟ 0, testo45, If[yw < 0, testo7 + testo45, If[yw ≟ 0, testo49]]]]]]]) → testo47
  36. LaTeX(testo11 + testo46 + testo47) → testo48