Solve this following

Question:

Show that the point $(1,2,1)$ is equidistant from the planes $\vec{r} \cdot(\hat{i}+2 \hat{j}-2 \hat{k})=5$ and $\vec{r} \cdot(2 \hat{i}-2 \hat{j}+\hat{k})+3=0$.

Solution:

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