Find the radius of the circular section in which the sphere is cut by the plane .

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Find the radius of the circular section in which the sphere

|\mathbf{r}| = 5

is cut by the plane

\mathbf{r} \cdot (\hat{i} + \hat{j} + \hat{k}) = 3\sqrt{3}