For a position vector \[{\rm{r}} = {\rm{x\hat i}} + {\rm{y\hat j}} + {\rm{z\hat k}}\] the norm of the vector can be defined as $$\left| {\overrightarrow {\text{r}} } \right| = \sqrt {{{\text{x}}^2} + {{\text{y}}^2} + {{\text{z}}^2}} .$$ Given a function $$\phi = \ln \left| {\overrightarrow {\text{r}} } \right|,$$ its gradient $$\nabla \phi $$ is
A. $$\overrightarrow {\text{r}} $$
B. $$\frac{{\overrightarrow {\text{r}} }}{{\left| {\overrightarrow {\text{r}} } \right|}}$$
C. $$\frac{{\overrightarrow {\text{r}} }}{{\overrightarrow {\text{r}} \cdot \overrightarrow {\text{r}} }}$$
D. $$\frac{{\overrightarrow {\text{r}} }}{{{{\left| {\overrightarrow {\text{r}} } \right|}^3}}}$$
Answer: Option C

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