MathPlotAI Logo MathPlotAI

Vectors With Optional Scale and Directions

Vectors With Optional Scale and Directions
Loading the math board and drawing, please wait…
2017-02-22 11:50
VectorTrigonometryCoordinate GeometryProbability & StatisticsGeometric Construction
This example demonstrates vector drawing with optional scale and direction adjustments. It involves core mathematical concepts like vectors, statistical characteristics, geometric mean, Pythagorean theorem, hypothesis testing, and area calculation. Construction highlights include using commands and objects such as Vector, OrthogonalLine, Midpoint, Textfield, Distance, Point, Line, Intersect, Angle, Segment in GeoGebra. Suitable for high school students and educators for visualizing and exploring vector-related concepts.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. OrthogonalLine(A, yAxis) → f
  3. Midpoint(A, B) → D
  4. Textfield(scale) → InputBox1
  5. Distance(A, B) → distanceAB
  6. Point(u) → E
  7. Line(A, xAxis) → g
  8. OrthogonalLine(E, g) → h
  9. Intersect(g, h) → C
  10. Angle(C, A, E) → α
  11. Segment(A, C) → i
  12. Vector(F, G) → v
  13. Midpoint(F, G) → H
  14. Vector(I, J) → w
  15. Midpoint(I, J) → K
  16. Distance(I, J) → distanceIJ
  17. Line(I, xAxis) → j
  18. OrthogonalLine(K, j) → k
  19. Intersect(j, k) → L
  20. Segment(I, L) → l
  21. Angle(L, I, K) → β
  22. OrthogonalLine(M, xAxis) → m
  23. Point(m) → N
  24. Vector(M, N) → b
  25. Midpoint(M, N) → O
  26. Distance(M, N) → distanceMN
  27. Line(R, xAxis) → n
  28. Line(S, xAxis) → p
  29. Line(P, yAxis) → q
  30. Line(Q, yAxis) → r
  31. Point(q) → T
  32. Vector(P, T) → c
  33. Point(r) → U
  34. Vector(Q, U) → d
  35. Point(n) → V
  36. Vector(R, V) → e
  37. Point(p) → W
  38. Vector(S, W) → t
  39. Midpoint(P, T) → Z
  40. Midpoint(Q, U) → A_1
  41. Midpoint(R, V) → B_1
  42. Midpoint(S, W) → C_1
  43. Distance(P, T) → distancePT
  44. Distance(Q, U) → distanceQU
  45. Distance(R, V) → distanceRV
  46. Distance(S, W) → distanceSW