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 $\vec{u} = (- 1, 3, 2)$ and $\vec{v} = (2, 1, 0)$ .

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Development:

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

Solution:

${\begin{cases} x = 1 - k + 2 m \\ y = 3 k + m \\ z = 3 + 2 k \end{cases}$

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