Let v_{1} = \left [ \begin{matrix} 1 \\ 1 \\ 1 \end{matrix} \right ] , v_{2} = \left [ \begin{matrix} 2 \\ -1 \\ 4 \end{matrix} \right ] , \text{and} v_{3} = \left [ \begin{matrix} 3 \\ 1 \\ 2 \end{matrix} \right ] . Find an implicit description [f:d] of the plane H_{1} that passes through v_{1} , v_{2} , and v_{3} .