How do you determine a set of parametric equations for the $xz$ plane?
2026-05-05 07:37:54.1777966674
Determine a set of parametric equations for the xz plane.
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The set of equations $$ y=0\\ x=t\\ z=s $$ for $s,t\in\mathbb{R}$ works fine.
The question may be trying to connect 3-space geometry to linear algebra. The set of equations represent a system of 3 equations with two free variables in the $x$ and $z$ position.