Question:
Find the image \(A'\) of the point \(A(2, 1, 2)\) in the line \(l:\vec{r}=4\hat{i}+2\hat{j}+2\hat{k}+\lambda(\hat{i}-\hat{j}-\hat{k})\). Also, find the equation of line joining \(AA'\). Find the foot of perpendicular from point A on the line \(l\).