Find the vector equation of the plane passing through the point

Question:

Find the vector equation of the plane passing through the point $(\mathrm{a}, \mathrm{b}, \mathrm{b})$ and parallel to the plane $\overrightarrow{\mathrm{r}} \cdot(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})=2$.

There is a error in question the point should be $(a, b, c)$ instead of $(a, b, b)$ to get the required answer. 

Solution:

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