MathPlotAI Logo MathPlotAI

Definition of a 3D Vector

Definition of a 3D Vector
Loading the math board and drawing, please wait…
2020-02-25 17:20
VectorCoordinate GeometrySolid Geometry
This example demonstrates the definition and representation of vectors in three-dimensional space. Key math concepts include 3D coordinate systems, vector notation, and vector operations. Construction highlights involve GeoGebra commands/objects like OrthogonalLine, Intersect, Vector, Line, and Segment. Suitable for high school and above students learning solid geometry and vector mathematics, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xOyPlane) → f
  2. Intersect(zAxis, xAxis) → D
  3. Vector(D, C) → u
  4. OrthogonalLine(C, xOyPlane) → g
  5. Line(C, zAxis) → h
  6. Intersect(h, xOyPlane) → E
  7. Segment(C, E) → i
  8. Line(E, xAxis) → j
  9. Line(E, yAxis) → k
  10. Intersect(k, xAxis) → F
  11. Intersect(j, yAxis) → G
  12. Segment(E, F) → l
  13. Segment(E, G) → m
  14. OrthogonalLine(C, zAxis, space) → n
  15. Intersect(n, zAxis) → H
  16. Segment(C, H) → p