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Vector Addition Demo by Zach Schaver

Vector Addition Demo by Zach Schaver
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2019-02-17 04:25
AngleVectorGeometric Construction
This example demonstrates vector addition using the parallelogram and triangle laws. It involves core concepts like vectors, geometric constructions, and angle calculations. Constructed with commands such as Vector, Dilate, Line, Intersect. Suitable for high school mathematics teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(C, D) → v
  3. Dilate(A, If[0 ≤ a < 1, 1 - a, 0], E) → A'
  4. Line(A', u) → f
  5. Line(A, A') → g
  6. Line(B, g) → h
  7. Intersect(f, h) → F
  8. Vector(A', F) → w
  9. Dilate(C, If[1 ≤ a < 2, 2 - a, 0], F) → C'
  10. Line(C', v) → i
  11. Line(C', C) → j
  12. Line(D, j) → k
  13. Intersect(i, k) → G
  14. Vector(C', G) → c
  15. Dilate(E, If[2 ≤ a < 3, 3 - a, 0], G) → E'
  16. Vector(E, E') → d
  17. Dilate(C, If[0 ≤ b < 1, 1 - b, 0], H) → C''
  18. Line(C'', v) → l
  19. Line(C, C'') → m
  20. Line(D, m) → n
  21. Intersect(l, n) → I
  22. Vector(C'', I) → e
  23. Dilate(A, If[1 ≤ b < 2, 2 - b, 0], I) → A''
  24. Line(A'', u) → p
  25. Line(A, A'') → q
  26. Line(B, q) → r
  27. Intersect(p, r) → J
  28. Vector(A'', J) → s
  29. Dilate(H, If[2 ≤ b < 3, 3 - b, 0], J) → H'
  30. Vector(H, H') → t