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Vector Addition Sample

Vector Addition Sample
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2015-02-20 17:40
VectorCoordinate GeometryGeometric Construction
This example demonstrates the process of vector addition. Key mathematical concepts include the geometric representation and addition of vectors. Using GeoGebra commands such as Rotate, Vector, and Length, the dynamic effect of vector addition is shown. Suitable for students at the junior high school level and above to learn basic concepts and operations of vectors.

GeoGebra Commands & Parameters

  1. Rotate(A, α, B) → A'
  2. Angle(A, B, A') → ε
  3. Rotate(C, β, B) → C'
  4. Angle(C, B, C') → ζ
  5. Rotate(D, γ, B) → D'
  6. Angle(D, B, D') → η
  7. Rotate(E, δ, B) → E'
  8. Angle(E, B, E') → θ_1
  9. DynamicCoordinates(A, (a * cos(α)), (a * sin(α))) → F_1
  10. DynamicCoordinates(B, (b * cos(β)), (b * sin(β))) → F_2
  11. DynamicCoordinates(C, (c * cos(γ)), (c * sin(γ))) → F_3
  12. DynamicCoordinates(D, (d * cos(δ)), (d * sin(δ))) → F_4
  13. Vector(B, F_2) → F_6
  14. Vector(B, F_1) → F_5
  15. Vector(B, F_3) → F_7
  16. Textfield(a) → inputBox1
  17. Textfield(b) → inputBox2
  18. Textfield(c) → inputBox3
  19. Textfield(d) → inputBox4
  20. Textfield(α) → inputBox5
  21. Textfield(β) → inputBox6
  22. Textfield(γ) → inputBox7
  23. Textfield(δ) → inputBox8
  24. DynamicCoordinates(A, Rx, Ry) → R
  25. Vector(B, R) → R_2
  26. Vector(B, F_4) → F_8
  27. Length(R_2) → i
  28. Point(xAxis) → J
  29. Angle(J, B, R) → θ

AI Drawing Prompt Reference

Draw a vector addition example. First, draw vectors A, B, C, and D. Then, rotate these vectors around point B to get A', C', and D'. Input angles α, β, γ, and δ, and generate vectors F1, F2, F3, and F4 based on the input angles and vector lengths a, b, c, and d. Connect point B to F2, F1, F3, and F4 to get vectors F5, F6, F7, and F8. Add vectors F5, F6, F7, and F8 to get vector R, connect point B to R to get vector R2. Calculate the length i of vector R2, and draw point J on the x-axis, then calculate angle θ.
The prompt above was compiled from the original drawing commands and is for reference only.