I want to plot $y=z$ with $x=1$ in three dimensional plot. How can one do this in Mathematica?
2 Answers
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Region[ImplicitRegion[{y == z, x == 1}, {x, y, z}],
BaseStyle -> {Thick, Red}, Boxed -> True]
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That would be a line. You can plot it like so:
max = 5;
ParametricPlot3D[{1,t,t},{t,-max,max},AxesLabel->{"x","y","z"}]
RegionPlot3Ddoes not do the job here. For starters,RegionPlot3Ddoes not accept a region as an argument, and expects only a "logical combination of inequalities". Furthermore, "RegionPlot3Dcan in general only find regions of positive measure; it cannot find regions that are just lines or points.". So it's useless for this 1D region in 3D space. $\endgroup$