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in 3D Coordinate Geometry by (31.4k points)
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Write the equation of a plane which is at a distance of \(5\sqrt{3}\) units from origin and the normal to which is equally inclined to coordinate axes.

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Obviously, a vector equally inclined to co-ordinate axes is given by \(\hat{i}+\hat{j}+\hat{k}\)

\(\therefore\) Unit vector equally inclined to co-ordinate axes

Therefore, required equation of plane is

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