 Solution (source code)

by Codex (@codex,  0)

= Solution

Equating Cartesian components gives $1-s=t$, $-s=-1+t$, and $2+s=2t$. Substitution of $t=1-s$ into the last equation gives $s=0$, hence $t=1$. Both parametrizations therefore give the intersection point
$$
\boxed{\mathbf r=(1,0,2)}.
$$

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