How to Graph the Intersection of Two Planes in 3D Coordinates using Mathematica?

  • Thread starter Thread starter Mr Davis 97
  • Start date Start date
  • Tags Tags
    Mathematica
Click For Summary

Discussion Overview

The discussion revolves around how to graph the intersection of two planes, specifically the planes defined by the equations y=3 and z=5, in 3D coordinates using Mathematica. Participants also explore how to graph a cylinder represented by the equation x² + z² = 9.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • One participant seeks guidance on graphing the intersection of the planes y=3 and z=5 in 3D coordinates using Mathematica.
  • Another participant suggests using the command ParametricPlot3D[{x,3,5},{x,-10,10}] for plotting the intersection, recommending adjustments to the range as needed.
  • A follow-up question is posed regarding how to graph the cylinder defined by the equation x² + z² = 9, questioning whether it requires parametrization or if the equation can be used directly.
  • One participant clarifies that the equation x² + z² = 9 describes a cylinder rather than a curve, prompting further inquiry about the intended plot.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints on how to approach the graphing of the cylinder, with some uncertainty regarding the best method to represent it in Mathematica.

Contextual Notes

There is a lack of consensus on whether the equation for the cylinder can be used directly or if it necessitates parametrization, and participants have not resolved the specifics of the plotting method.

Mr Davis 97
Messages
1,461
Reaction score
44
I have a simple Mathematica question, and I am not sure where to post it, so I'll just try to post it here. I am trying to graph the intersection of the planes y=3 and z=5 in 3D coordinates, but am not sure how.
 
Technology news on Phys.org
ParametricPlot3D[{x,3,5},{x,-10,10}]

Exchange the 10s for whatever suits your plotting range.
 
  • Like
Likes   Reactions: Mr Davis 97
Orodruin said:
ParametricPlot3D[{x,3,5},{x,-10,10}]

Exchange the 10s for whatever suits your plotting range.
That works. As one additional question, how would I graph the curve ##x^2 + z^2 = 9## in three dimensions? Do I have to parametrize it, or can I use that equation directly?
 
That is a cylinder, not a curve. What is it you want to plot?
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K