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Unit Circle with Vectors

Unit Circle with Vectors
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2017-09-02 01:57
CircleVectorGeometric Construction
This example demonstrates the relationship between the unit circle and vectors. Key mathematical concepts include the unit circle and vectors. Using GeoGebra commands such as Vector, Rotate, and If, the example dynamically shows vector rotation and points on the unit circle. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Rotate(u, θ) → u'
  3. If(y(C) < 0, -0.015, 0) → negs
  4. Point(f) → J
  5. Point(f) → I
  6. If(x(C) < 0, -0.015, 0) → negc
  7. Max(θ - 9°, 0°) → α
  8. Vector(D, (0.5 * C)) → v
  9. Min(θ, 0.1°) → β
  10. CircleArc(A, E, (0.5 * C)) → c
  11. If(x(C) ≤ 0, -1, 0) → leftright
  12. Text(text4, H, true, true) → text5
  13. CircleSector(A, E, (0.5 * C)) → d
  14. Vector(A_1, B_1) → u_1
  15. Rotate(u_1, θ) → u'_1
  16. Text(text6, K, true, true) → text7
  17. Text(text6_1, L, true, true) → text8
  18. If(y(C) < 0, -0.015, 0) → a