The figures show diagrammatic representations of vector fields $\vec{X},\vec{Y},and\vec{Z}$ respectively. Which one of the following choices is true?

Concept:

Divergence of any vector is zero if the total outward flow is equal to the total inward flow.

$\nabla .\vec{A}=0$

Curl of any vector is zero if there is no rotation in space.

$\nabla \times \vec{A}=0$

Application:

Vector $\vec{X}$ has no rotation in the space and the outward flow is not equal to inward flow.

$\nabla .\vec{X}\ne 0,\nabla \times \vec{X}=0$

The vector$\vec{Y}$ has circular rotation and the flow is same in both inward and outward direction.

$\nabla .\vec{Y}=0,\nabla \times \vec{Y}\ne 0$

Vector $\vec{Z}$ has circular rotation and the outward flow is not equal to inward flow.

$\nabla .\vec{Z}\ne 0,\nabla \times \vec{Z}\ne 0$

Here, option 3 is correct.