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Vector Projection by Tim Brzezinski

Vector Projection by Tim Brzezinski
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2016-08-15 23:17
AngleVectorGeometric Construction
This example demonstrates how to project one vector onto another. Key mathematical concepts include vector projection and angles. Using GeoGebra commands such as Vector, Line, and Intersect, the process of vector projection is visually illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(A, B) → v
  2. Line(A, B) → f
  3. Point(f) → C
  4. Point(f) → D
  5. Vector(A, E) → u
  6. OrthogonalLine(E, f) → g
  7. Intersect(f, g) → F
  8. Vector(A, F) → w
  9. Vector(F, E) → b
  10. Angle(E, F, A) → α
  11. Ray(A, D) → h
  12. Ray(B, C) → i
  13. Line(A, g) → j
  14. Line(B, g) → k
  15. Circle(A, 1 / 2) → d
  16. Circle(B, 1 / 2) → e
  17. Intersect(d, j, 1) → G
  18. Intersect(e, k, 1) → H
  19. Dilate(G, If[0 < c ≤ 1, 1 - c, 0], H) → G'
  20. Dilate(A, If[0 < c ≤ 1, 1 - c, 0], F) → A'
  21. Vector(A, A') → m
  22. Segment(F, E) → n
  23. Distance(A, E) → distanceAE
  24. Distance(A, B) → distanceAB
  25. Distance(G, G') → distanceGG'
  26. Intersect(e, k, 1) → I
  27. Intersect(e, k) → J, K
  28. Intersect(d, j) → L, M
  29. Dilate(M, If[0 < c ≤ 1, 1 - c, 0], K) → M'
  30. Distance(M, K) → distanceMK
  31. Angle(E, A, B) → β
  32. Point(f) → N
  33. Ray(F, N) → l
  34. Distance(A, A') → distanceAA'
  35. SurdText(p) → text3
  36. Distance(O, P) → distanceOP
  37. SurdText(xx) → text6
  38. SurdText(yy) → text7