A *sphere* is the locus of a point in a three-dimensional space, which remains at a constant distance from a fixed point. The fixed point is called the *Center of the sphere* and the constant distance is called the *radius of the sphere*.

Let be the position vector of any point *P*(*x*, *y*, *z*) on the surface of a sphere with respect to the origin O. Let the position vector of the center *C*(*c*_{1}, *c*_{2}, *c*_{3}) be . Thus,

If be the radius of the ...

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