60. The center of sphere $Q$ has coordinates ( $a, b, c$ ), and the radius of the sphere is $R$. Denoting the variable radius vector by $\vec{r}$, and the radius vector of point $Q$ by $\vec{q}=\overrightarrow{O Q}$, derive the vector equation of the sphere as the set of points located at a distance $R$ from point $Q$. From this, obtain the equation of the sphere in coordinates (analogous to the equation of a circle in coordinates on a plane):

$$
(x-a)^{2}+(y-b)^{2}+(z-c)^{2}=R^{2}
$$
60. From the condition of the problem, we get: $(\vec{r}-\vec{q})^{2}=R^{2}$, therefore, $(x-a)^{2}+(y-b)^{2}+(z-c)^{2}=R^{2}$.