The points and are equidistant from the plane

MATHEMATICS · Single correct · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

The points i^+j^+3k^\hat{i} + \hat{j} + 3\hat{k} and 3i^+3j^+3k^3\hat{i} + 3\hat{j} + 3\hat{k} are equidistant from the plane r⋅(5i^+2j^−7k^)+9=0\mathbf{r} \cdot (5\hat{i} + 2\hat{j} - 7\hat{k}) + 9 = 0 , then they are (1) on the same sides of the plane (2) parallel of the plane (3) on the opposite sides of the plane (4) None of the above

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