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

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To graph the intersection of the planes y=3 and z=5 in Mathematica, the command ParametricPlot3D[{x, 3, 5}, {x, -10, 10}] is effective, allowing users to adjust the range as needed. For plotting the equation x^2 + z^2 = 9, which represents a cylinder rather than a curve, it is suggested to parametrize the equation. This clarification emphasizes the distinction between a curve and a three-dimensional shape, guiding users on how to approach plotting cylindrical shapes in 3D coordinates.
Mr Davis 97
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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.
 
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ParametricPlot3D[{x,3,5},{x,-10,10}]

Exchange the 10s for whatever suits your plotting range.
 
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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?
 
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