Find the vector and Cartesian equations of a plane passing through the point `(1, -1, 1)` and normal to theline joining the point `(1, 2, 5) and (-1, 3, 1)`.

Explanation

The plane is passing through the point `(1,-1,1).` Let the position vector of this point be


`\vec{a}=\hat{i}-\hat{j}+\hat{k} \ldots \ldots .({i})`



And it is also given the plane is normal to the line joining the points A(1,2,5) and B(-1,3,1)



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