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CSS Applied Mathematics QUESTION #4138
Question 1
For $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$, what is $\nabla \cdot \vec{r}$?
  • $0$
  • $1$
  • $3$✔️
  • $r$
Correct Answer Explanation
$\nabla \cdot \vec{r} = \frac{\partial x}{\partial x} + \frac{\partial y}{\partial y} + \frac{\partial z}{\partial z} = 1 + 1 + 1 = 3$.