Prove that curl of position vector is zero vector

Question : Prove that curl of position vector is zero vector. Solution : We shall Find curl of position vector as follows We know position vector is represented as \[\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}\] And curl position vector is defined as \[\nabla\times\left(\vec{r}\right)\] \[\nabla\times\left(\vec{r}\right)=\left(\hat{i}\frac{\partial}{\partial x}+\hat{j}\frac{\partial}{\partial…

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