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Plotting Points in 3D: Dynamic Illustrator

Plotting Points in 3D: Dynamic Illustrator
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2017-12-30 05:03
VectorCoordinate GeometrySolid Geometry
In collections Plotting Points Multivariable Calculus
This example demonstrates how to plot points in 3-dimensional space dynamically. Key mathematical concepts include coordinates and vectors. Using commands like Intersect, Vector, and If, the position of points can be modified interactively. Suitable for high school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → C
  2. Vector(C, D) → u
  3. Vector(D, E) → v
  4. Vector(E, B) → w
  5. If(c2, "y coordinate is correct.", "y coordinate is not correct.") → text3
  6. If(c1, "x coordinate is correct.", "x coordinate is not correct.") → text2
  7. If(c3, "z coordinate is correct.", "z coordinate is not correct.") → text4

AI Drawing Prompt Reference

Plot points dynamically in 3D space to demonstrate key concepts of coordinates and vectors. Start by plotting the intersection of two coordinate axes, then draw three vectors originating from this point, representing the x, y, and z directions. Dynamically display whether the x, y, and z coordinates are correct, with text annotations indicating the results.
The prompt above was compiled from the original drawing commands and is for reference only.