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2D Vectors and Geometric Mean Demo

2D Vectors and Geometric Mean Demo
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2015-06-13 01:34
CircleVectorCoordinate GeometryGeometric Construction
In collections Geometric Constructions Geometric Constructions Geometric Constructions-MINE Geometric Constructions
This example demonstrates the geometric representation of 2D vectors and the calculation of the geometric mean. Key math concepts include vector operations, geometric mean, intersection of circles and lines. Construction highlights involve commands like Segment, Line, Circle, and Intersect from GeoGebra. Suitable for high school mathematics education to understand practical applications of vectors and geometric mean.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a_1
  2. Segment(C, D) → a
  3. Segment(E, F) → b
  4. Line(G, H) → c
  5. Line(A, B) → d
  6. Line(A, I) → e
  7. Circle(A, Segment[E, F]) → f
  8. Intersect(f, e, 2) → J
  9. Circle(J, Segment[C, D]) → g
  10. Intersect(g, e, 2) → K
  11. Line(J, B) → h
  12. Line(K, h) → i
  13. Intersect(d, i) → L
  14. Circle(G, Segment[B, L]) → k
  15. Intersect(k, c) → M, N
  16. Segment(G, N) → target