1. What is the determinant expansion for the curl of a vector?
2. What is the significance of the curl of a vector being equal to zero?
3. State Ampere's circuital law in differential form for the simple case of ![632_465ce9ba-31df-4c09-9cbc-695939da45bc.png](https://secure.tutorsglobe.com/CMSImages/632_465ce9ba-31df-4c09-9cbc-695939da45bc.png)
How is it derived from Ampere's circuital law in integral form?