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Further Kinematics: Circumcircle and Vectors

Further Kinematics: Circumcircle and Vectors
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2018-07-04 15:54
CircleVectorCoordinate GeometryGeometric Construction
In collections Pearson Maths A level Statistics and Mechanics 2 Pearson Maths A level Statistics and Mechanics 2 Pearson Maths A level Statistics and Mechanics 2
This example demonstrates the construction of a circumcircle for a triangle using vectors, sequences, and line segments. Key math concepts include circumcircle, vector operations, geometric transformations, and 2D vectors. GeoGebra commands/objects used in the construction are Vector, Sequence, Segment, Length, Angle, and CurveCartesian. Suitable for high school students learning analytical geometry and vectors.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(G, H) → v
  3. Sequence(Segment[(-100, i), (100, i)], i, -50, 50, 1) → list2
  4. Sequence(Segment[(i, -100), (i, 100)], i, -50, 50, 1) → list4
  5. Segment(A, C) → f
  6. Segment(B, C) → g
  7. Length(u) → e
  8. Angle(B, C, A) → α
  9. Segment(F, H) → i
  10. Segment(F, G) → j
  11. Segment(A, B) → l
  12. Vector(D) → w
  13. Vector(E) → a_2
  14. Vector(D, J) → s
  15. Segment(G, H) → h
  16. Vector(J) → b_1
  17. CurveCartesian(x(D) + (x(u) * t) + ((1 / 2 * x(a)) * t^(2)), y(D) + (y(u) * t) + ((1 / 2 * y(a)) * t^(2)), t, 0, 20) → c_1
  18. Vector(R_0, R) → f_1
  19. Vector(D, R) → r