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Position Vectors Demo

Position Vectors Demo
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2019-11-12 16:47
VectorCoordinate GeometrySolid Geometry
This example demonstrates how to draw position vectors in 3D space and shows the coordinate relationship between their starting and ending points. Core math concepts include vector representation, 3D coordinate systems, vector magnitude and direction. Construction highlights involve commands/objects like Segment, Textfield, Intersect, Point, and Vector from GeoGebra. Suitable for high school and above students learning vectors and spatial geometry, or university-level foundational mathematics instruction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, D) → h
  4. Segment(D, A) → i
  5. Segment(F, E) → k
  6. Textfield(ans1) → InputBox1
  7. Segment(L, I) → l
  8. Textfield(ans2) → InputBox2
  9. Textfield(ans4) → InputBox4
  10. Textfield(ans5) → InputBox5
  11. Textfield(ans6) → InputBox6
  12. Textfield(ans7) → InputBox7
  13. Textfield(ans8) → InputBox8
  14. Textfield(ans9) → InputBox9
  15. Textfield(ans3) → InputBox3
  16. Textfield(ans10) → InputBox10
  17. Textfield(ans12) → InputBox12
  18. Textfield(ans11) → InputBox11
  19. Textfield(ans13) → InputBox13
  20. Intersect(f, g) → P
  21. Intersect(f, i) → Q
  22. Segment(P, Q) → j
  23. Point(h) → R
  24. Intersect(h, i) → S
  25. Segment(R, S) → m
  26. Point(j) → T
  27. Vector(P, T) → u
  28. Point(m) → U
  29. Vector(R, U) → v
  30. Intersect(g, h) → V
  31. Intersect(h, i) → W
  32. Segment(V, W) → n
  33. Intersect(xAxis, yAxis) → Z
  34. Segment(Z, V) → p
  35. Segment(Z, W) → q
  36. Point(n) → A_1
  37. Vector(V, A_1) → w
  38. Point(q) → C_1
  39. Vector(Z, C_1) → b
  40. Point(p) → D_1
  41. Point(p) → E_1
  42. Vector(D_1, E_1) → c

AI Drawing Prompt Reference

Draw a quadrilateral in 3D space with its sides and internal segments. Place points on the sides and connect them to form inner lines. From vertices or intersection points, draw position vectors to points on these lines, showing the coordinate relationship between start and end. Also draw the coordinate axes and construct vectors from the origin to points on the axes to illustrate vector representation in space.
The prompt above was compiled from the original drawing commands and is for reference only.