MathPlotAI Logo MathPlotAI

Plotting Points in 3-Space

Plotting Points in 3-Space
Loading the math board and drawing, please wait…
2018-05-28 22:54
VectorCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates dynamically and modifiably plotting points in 3D space given coordinates. It involves core math concepts like coordinate geometry, vectors, distance calculations, and geometric transformations. Key GeoGebra commands and objects used include Dilate, Distance, Vector, and Textfield. Suitable for high school and above students learning solid geometry, vector operations, and 3D coordinate representation.

GeoGebra Commands & Parameters

  1. Dilate(D, If[0 < d ≤ 1, 1 - d, 0], A) → D'
  2. Dilate(A, If[1 < d ≤ 2, 2 - d, 0], B) → A'
  3. Dilate(B, If[2 < d ≤ 3, 3 - d, 0], C) → B'
  4. Distance(D, D') → distanceDD'
  5. Distance(A, A') → distanceAA'
  6. Distance(B, B') → distanceBB'
  7. Vector(D, D') → u
  8. Vector(A, A') → v
  9. Vector(B, B') → w
  10. Textfield(a) → InputBox1
  11. Textfield(b) → InputBox2
  12. Textfield(c) → InputBox3