Let \( Q \) be the mirror image of the point \( P(1,2,1) \) with respect to the plane \( x+2y+2z=16 \). Let \( T \) be a plane passing through the point \( Q \) and contains the line \( \vec{r}=-\hat{k}+ \lambda(\hat{i}+\hat{j}+2\hat{k}), \ \lambda \in \mathbb{R} \). Then which of the following points lies on \( T \)?
