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Steps for Finding Resultant Vectors

Steps for Finding Resultant Vectors
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2012-06-21 20:56
AngleVectorTrigonometryGeometric Construction
① This applet demonstrates the complete procedure for obtaining a resultant vector from two given vectors' magnitudes and directions using the parallelogram or triangle law. ② Core mathematical concepts include vector addition, resultant vectors, the Law of Sines, the Law of Cosines, and vector rotation and translation. ③ Construction highlights: Vector creates the vectors; Rotate and Translate perform rotation and translation; Angle measures the included angle; Intersect, Line, Segment, and Point build the parallelogram; Textfield provides parameter input. ④ Suitable for high‑school physics/mathematics vector lessons and as a supplemental tool for introductory university mechanics courses.

GeoGebra Commands & Parameters

  1. Textfield(a) → inputBox1
  2. Textfield(b) → inputBox2
  3. Textfield(c) → inputBox3
  4. Textfield(d) → inputBox4
  5. Point(xAxis) → A
  6. Intersect(xAxis, yAxis) → B
  7. Rotate(A, b / 57.3, B) → A'
  8. Angle(A, B, A') → α
  9. Rotate(A, d / 57.3, B) → A'_1
  10. Angle(A, B, A'_1) → β
  11. Line(B, A') → e
  12. Line(B, A'_1) → f
  13. Segment(B, C) → g
  14. Vector(B, C) → u
  15. Vector(B, D) → v
  16. Translate(B, w) → B'
  17. Angle(C, E, D) → γ
  18. Angle(D, E, C) → δ
  19. Translate(C, v) → C'
  20. Vector(D, C') → z
  21. Vector(E, C') → i
  22. Angle(C', D, E) → ε
  23. Angle(E, D, C') → ζ
  24. Angle(A, E, C') → η
  25. Segment(E, C') → j
  26. Point(i) → G
  27. Point(z) → I
  28. Line(A, E) → l
  29. Point(yAxis) → J
  30. Line(J, E) → m