28) Find the vector equation of the plane passing through the three points with position vectors $\hat{i}+\hat{j}-2\hat{k}, 2\hat{i} -\hat{j}+\hat{k} and \hat{i}+2\hat{j}+\hat{k}.$ Also, find the coordinates of the point of intersection of this plane and the line $\overrightarrow{r}=(3\hat{i} -\hat{j} -\hat{k}) +\lambda (2\hat{i}-2\hat{j}+\hat{k}).$