Tangent plane and normal vector

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SUMMARY

The discussion focuses on adding a tangent plane and normal vector to a 3D plot of a sphere using Graphics3D in Mathematica. Users express openness to alternative tools such as Matlab and LaTeX for achieving this task. A suggestion is provided to reference external resources for constructing tangent planes and understanding surface normals, which are critical for visualizing these concepts accurately in 3D graphics.

PREREQUISITES
  • Familiarity with Graphics3D in Mathematica
  • Understanding of tangent planes in 3D geometry
  • Knowledge of normal vectors and their significance
  • Basic skills in Matlab or LaTeX for alternative implementations
NEXT STEPS
  • Research how to implement tangent planes in Mathematica using Graphics3D
  • Learn about surface normals and their mathematical properties
  • Explore Matlab's 3D plotting capabilities for tangent planes
  • Investigate LaTeX packages for 3D graphics representation
USEFUL FOR

Mathematicians, 3D graphics developers, and educators looking to enhance their understanding of tangent planes and normal vectors in graphical representations.

Dustinsfl
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Graphics3D[Sphere[{0, 0, 0}]]

How do I add a tangent plane and normal vector to this plot?

I am not opposed to Matlab or Latex either.
 
Last edited:
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dwsmith said:
Graphics3D[Sphere[{0, 0, 0}]]

How do I add a tangent plane and normal vector to this plot?

I am not opposed to Matlab or Latex either.

Hi dwsmith, :)

I haven't done this nor do I use Matlab, but I found >>this<< which may help you to construct a tangent plane to any given surface. For surface norms refer >>this<<.

Kind Regards,
Sudharaka.
 

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