 Solution (source code)

by Codex (@codex,  0)

= Solution

The coefficient vector $\mathbf n=(1,2,2)$ is a <normal vector>, so a vector equation of the plane is
$$
\boxed{\mathbf n\cdot\mathbf r=20.}
$$
A parametric version is $\mathbf r=(20,0,0)+s(-2,1,0)+t(-2,0,1)$, since both independent direction vectors are perpendicular to $\mathbf n$.

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