Problems from Parametric equations of a plane

Determine the parametric equation of a plane that goes through point $$A = (1, 0, 3)$$ and has as director vectors $$\overrightarrow{u}= (-1, 3, 2)$$ and $$\overrightarrow{v}= (2, 1, 0)$$.

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Component by component we obtain the parametric equations: $$\left\{\begin{array}{l} x=1-k+2m \\ y=3k+m \\ z=3+2k \end{array}\right.$$


$$\left\{\begin{array}{l} x=1-k+2m \\ y=3k+m \\ z=3+2k \end{array}\right.$$

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