The figures show diagrammatic representations of vector fields \(\vec X,\;\vec Y,\;and\;\vec Z\) respectively. Which one of the following choices is true?
1
\(\nabla .\vec X = 0,\nabla \times \vec Y \ne 0,\nabla \times \vec Z = 0\;\)
2
\(\nabla .\vec X \ne 0,\nabla \times \vec Y = 0,\nabla \times \vec Z \ne 0\)
3
\(\nabla .\vec X \ne 0,\nabla \times \vec Y \ne 0,\nabla \times \vec Z \ne 0\)
4
\(\nabla .\vec X = 0,\nabla \times \vec Y = 0,\nabla \times \vec Z = 0\)