A plane P contains the line of intersection of the plane r ·( i + j + k )=6 and r ·(2 i +3 j +4 k )=-5. If P passes through the point (0,2,-2), then…

A plane P contains the line of intersection of the plane $\displaystyle \vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=6$ and $\displaystyle \vec{r} \cdot(2 \hat{i}+3 \hat{j}+4 \hat{k})=-5$. If P passes through the point $\displaystyle (0,2,-2)$, then the square of distance of the point ( $\displaystyle 12,12,18$ ) from the plane P is