MathPlotAI Logo MathPlotAI

Application of Vectors in Physics by Carla Castillo

Application of Vectors in Physics by Carla Castillo
Loading the math board and drawing, please wait…
2020-05-16 06:39
VectorTrigonometryCoordinate GeometryCalculusGeometric Construction
This example demonstrates the practical application of vectors in physics, visualizing force composition and decomposition through graphics. Core math concepts include vector operations, trigonometric functions, coordinate geometry, and calculus. Construction highlights GeoGebra commands like Rotate, Line, Intersect, Segment, OrthogonalLine, Angle, Vector, and Length. Suitable for high school physics and mathematics education to understand and apply vector knowledge.

GeoGebra Commands & Parameters

  1. Rotate(A, β, B) → A'
  2. Rotate(B, -α, A) → B'
  3. Line(B, A') → a
  4. Line(A, B') → b
  5. Intersect(a, b) → C
  6. Segment(A, B) → c
  7. OrthogonalLine(C, c) → c'
  8. Intersect(Circle[C, e / 100], c', 2) → D
  9. Intersect(Circle[C, e / 100], c', 1) → E
  10. Angle(A, B, A') → δ
  11. Angle(B', A, B) → γ
  12. Segment(A, C) → d
  13. Segment(B, C) → f
  14. Vector(C, D) → w
  15. Vector(C, E) → F
  16. Line(E, f) → i
  17. Line(E, d) → j
  18. Intersect(i, d) → G
  19. Intersect(j, f) → H
  20. Vector(C, G) → F_1
  21. Vector(C, H) → F_2
  22. Segment(G, E) → k
  23. Segment(E, H) → l
  24. Length(F1) → f1
  25. Length(F2) → f2