Let $\vec { F } = \| \vec { r } \| ^ { p } \vec { r }$ , where p is a positive constant.Is there a value of p such that $\vec {F}$ is a divergence free vector field?

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The Answer of Let $\vec { F } = \| \vec { r } \| ^ { p } \vec { r }$ , where p is a positive constant.Is there a value of p such that $\vec {F}$ is a divergence free vector field?

Let F⃗=∥r⃗∥pr⃗\vec { F } = \| \vec { r } \| ^ { p } \vec { r }F=∥r∥pr

Let $\vec { F } = \| \vec { r } \| ^ { p } \vec { r }$