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How to Draw a Vector in 3D (Visual Animation)

How to Draw a Vector in 3D (Visual Animation)
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2020-06-12 15:46
VectorCoordinate GeometrySolid Geometry
This example demonstrates how to draw and animate a vector in 3D space. Key math concepts include vector representation, 3D coordinates, and vector endpoints. It utilizes GeoGebra commands like Textfield, Translate, Vector, Midpoint, and Segment. Suitable for high school and above mathematics education to understand and visualize 3D vectors and operations.

GeoGebra Commands & Parameters

  1. Textfield(x1) → ChampTexte1
  2. Textfield(y1) → ChampTexte2
  3. Textfield(z1) → ChampTexte3
  4. Translate(O, Vector[(If[a ∧ b ∧ c ∧ 0 < o < 4, o / 4, 1] * Vector[O, O + (x1, 0, 0)])]) → O'
  5. Vector(O, O') → u
  6. Translate(OO, Vector[(If[a ∧ b ∧ c ∧ 0 < o < 4, 0, If[4 < o < 8, (o - 4) / 4, 1]] * Vector[OO, B])]) → A
  7. Vector(O', A) → v
  8. Translate(B, Vector[(If[a ∧ b ∧ c ∧ 0 < o < 8, 0, If[8 < o < 12, (o - 8) / 4, 1]] * Vector[B, C])]) → B'
  9. Vector(A, B') → w
  10. Translate(O, Vector[(If[a ∧ b ∧ c ∧ 0 < o < 12, 0, If[12 < o < 16, (o - 12) / 4, 1]] * Vector[O, C])]) → O'_1
  11. Vector(O, O'_1) → d
  12. Midpoint(O, OO) → D
  13. Midpoint(OO, B) → E
  14. Midpoint(B, C) → F
  15. Midpoint(O, O'_1) → K
  16. Segment(G, B) → f
  17. Segment(OO, B) → g
  18. Segment(B, C) → h
  19. Segment(C, J) → i
  20. Segment(C, H) → j
  21. Segment(H, OO) → k
  22. Segment(J, G) → l
  23. Segment(G, O) → m
  24. Segment(O, OO) → n
  25. Segment(I, J) → p
  26. Segment(H, I) → q
  27. Segment(I, O) → r

AI Drawing Prompt Reference

Visualize a vector in 3D space with animation, showing vector representation, 3D coordinates, and endpoints. Start by inputting the vector's initial coordinates, then draw and animate the vector. Next, display midpoints and connect them with line segments, finally demonstrating vector translation and composition through animation to help understand 3D vectors and operations.
The prompt above was compiled from the original drawing commands and is for reference only.