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

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