Question

Find a vector equation of the plane that contains the origin and the point (2, -3, 2) and is perpendicular to the plane x+2y-z+3=0?

Answer 1

\[\begin{matrix} \rightarrow \\ r\end{matrix}=s(1, 2, -1)+t(2, -3, 2)\]

Answer 2

solve this equation
\[ 2 - 3a + 2b = 0\\
1 + 2a -c = 0\]
and your plane is
\[ x + ay + bz = 0\]