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Vector Addition by Dr Phil Clark

Vector Addition by Dr Phil Clark
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2014-09-27 06:02
VectorCoordinate GeometryGeometric Construction
This example demonstrates the addition of two vectors graphically. Key mathematical concepts include the geometric representation and addition of vectors. Commands used include Vector, Midpoint, Angle, Length, etc. Suitable for middle school and above students to learn basic concepts and operations of vectors.

GeoGebra Commands & Parameters

  1. Vector(C, D) → v
  2. Vector(A, B) → u
  3. Vector(A, D) → w
  4. Midpoint(A, D) → E
  5. Midpoint(A, B) → F
  6. Midpoint(B, D) → G
  7. Angle(w2) → α
  8. Length(u) → ulength
  9. Length(w) → wlength
  10. Length(v) → vlength
  11. Vector(C, (x(D), y(C))) → z
  12. Point(z) → H
  13. Vector(A, (x(B), y(A))) → c
  14. Point(c) → I
  15. Vector(A, (x(w2) + x(A), y(A))) → g
  16. Point(g) → J
  17. Vector(C, (x(C), y(D))) → b
  18. Vector(A, (x(A), y(B))) → d
  19. Vector(A, (x(A), y(w2) + y(A))) → h
  20. Angle(u) → β
  21. Vector(C_1, D_1) → v_1
  22. Vector(A_1, B_1) → u_1
  23. Vector(A_1, D_1) → w_1
  24. Midpoint(A_1, D_1) → E_1
  25. Midpoint(A_1, B_1) → F_1
  26. Midpoint(B_1, D_1) → G_1
  27. Angle(v) → γ
  28. Vector(C_2, D_2) → v_2
  29. Vector(A_2, B_2) → u_2
  30. Midpoint(A_2, B_2) → F_2
  31. Length(u_2) → ulength_1
  32. Angle(u_2) → β_1

AI Drawing Prompt Reference

Draw the geometric representation of two vectors u and v, and their resultant vector w. First, draw vectors u and v, then find their resultant vector w. Next, draw the midpoints E of u and w, G of v and w, and the lengths of u and v. Finally, draw a vector z perpendicular to w from point D, and get a new point H.
The prompt above was compiled from the original drawing commands and is for reference only.