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Union and Intersection of Vector Spaces

Union and Intersection of Vector Spaces
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2017-11-13 13:43
VectorFunctionGeometric Construction
This example demonstrates the geometric representation of the union and intersection of vector spaces. Key math concepts include vector spaces, union operations, and intersection operations. It is constructed using GeoGebra commands/objects like Segment, Intersect, Point, Vector, and Polygon. Suitable for university mathematics students or learners interested in linear algebra.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, D) → h
  4. Segment(D, A) → i
  5. Segment(E, F) → j
  6. Segment(F, G) → k
  7. Segment(G, H) → l_1
  8. Segment(H, E) → m
  9. Intersect(i, m) → I
  10. Intersect(g, k) → J
  11. Segment(I, J) → l
  12. Intersect(i, k) → K
  13. Segment(K, F) → p
  14. Intersect(g, m) → L
  15. Segment(L, C) → q
  16. Intersect(g, k) → M
  17. Segment(M, G) → r
  18. Intersect(g, m) → N
  19. Intersect(l_1, m) → O_1
  20. Segment(N, O_1) → s
  21. Intersect(i, m) → P
  22. Intersect(j, m) → Q
  23. Segment(P, Q) → t
  24. Intersect(g, k) → R
  25. Intersect(f, g) → S
  26. Segment(R, S) → a
  27. Point(l) → T
  28. Vector(T, U) → u
  29. Vector(T, V) → v
  30. Intersect(j, m) → W
  31. Intersect(j, k) → Z
  32. Intersect(k, l_1) → A_1
  33. Polygon(W, Z, A_1, B_1) → q1, w, z_1, a_1, b_1
  34. Intersect(f, i) → C_1
  35. Intersect(f, g) → D_1
  36. Intersect(g, h) → E_1
  37. Polygon(C_1, D_1, E_1, F_1) → q2, c_1, d_1, e_1, f_1
  38. Point(l) → O