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Component Vectors

Component Vectors
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2017-02-15 11:52
VectorCoordinate GeometryGeometric Construction
This example demonstrates the concept of vector decomposition. By constructing vectors and their components, students can understand the basic principles of vector decomposition. Commands used include Vector, Line, Intersect, Point, Angle, Distance, and Midpoint. Suitable for high school mathematics education, helping students grasp the geometric meaning and calculation methods of vector decomposition.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(C, D) → v
  3. Vector(E, F) → w
  4. Line(A, yAxis) → f
  5. Line(B, xAxis) → g
  6. Line(C, xAxis) → h
  7. Line(D, yAxis) → i
  8. Intersect(f, g) → G
  9. Intersect(h, i) → H
  10. Vector(A, G) → a
  11. Vector(G, B) → b
  12. Vector(C, H) → c
  13. Vector(H, D) → d
  14. Point(v) → L
  15. Point(d) → I
  16. Point(c) → K
  17. Point(b) → M
  18. Point(a) → N
  19. Point(u) → J
  20. Angle(B, A, G) → α
  21. Angle(D, C, H) → β
  22. Distance(A, B) → distanceAB
  23. Midpoint(A, B) →
  24. Distance(C, D) → distanceCD
  25. Midpoint(C, D) →