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Parallel/Antiparallel and Orthogonal Vectors

Parallel/Antiparallel and Orthogonal Vectors
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2016-11-18 10:34
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to construct parallel/antiparallel and orthogonal vectors using GeoGebra. Key mathematical concepts include the relationships between parallel and perpendicular vectors. By using commands like Vector, Line, Point, Rotate, and Angle, dynamic relationships between vectors can be shown. Suitable for high school mathematics education and students learning vector geometry.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Line(C, u) → f
  3. Point(f) → D
  4. Vector(C, D) → v
  5. Rotate(u, 90°, A) → u'
  6. Angle(u, u') → α
  7. Line(E, u') → g
  8. Point(g) → F
  9. Vector(E, F) → w
  10. Line(G, w) → h
  11. Point(h) → H
  12. Vector(G, H) → a