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Collinear Vectors Demo

Collinear Vectors Demo
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2017-08-29 09:43
VectorCoordinate GeometryGeometric Construction
This example demonstrates the geometric representation and determination of collinear vectors. It involves core mathematical concepts like vectors, collinearity, distance, circles, and line segments. GeoGebra commands used include Vector, Distance, Circle, Segment, Intersect, and Line. Suitable for high school mathematics education to understand the relationship between vectors and geometric figures.

GeoGebra Commands & Parameters

  1. Vector(O, B_1) → u
  2. Distance(B_1, O) → distanceBA
  3. Circle(O, distanceBA / 3) → c
  4. Segment(O, B_1) → f
  5. Intersect(c, f) → E,
  6. Segment(B_1, B) → g
  7. Circle(B_1, (g * 3 / 4)) → d
  8. Intersect(d, g) → F,
  9. Segment(O, B) → h
  10. Circle(O, (3 * h)) → e
  11. Line(O, B) → i
  12. Line(E, F) → j
  13. Intersect(e, i) → F_1, G
  14. Segment(O, G) → k