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Vector Projections

Vector Projections
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2017-01-04 12:13
VectorCoordinate GeometryGeometric Construction
This example demonstrates the concept of vector projections. It involves basic vector operations and geometric constructions. Using GeoGebra commands such as Line, OrthogonalLine, Intersect, Segment, and Vector, the geometric meaning of vector projections is clearly illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, C) → a
  2. OrthogonalLine(B, a) → b
  3. Intersect(a, b) → Int
  4. Segment(B, Int) → f
  5. Vector(A, B) → u
  6. Vector(A, C) → v
  7. Segment(A, Int) → c
  8. Point(f, n) → A'
  9. Segment(A', B) → d
  10. Angle(B, A', A) → α
  11. Angle(C, A, B) → β
  12. If(Always ≟ true, n, 0) → Show
  13. Vector(A, Int) → Pro
  14. Ray(A, Int) → e