GATE 2018 Electrical Engineering Q3

Question

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

Accepted Answer

$
abla \cdot \vec{X} = 0, 
abla 	imes \vec{Y} = 0, 
abla 	imes \vec{Z} = 0$

Answer

$
abla \cdot \vec{X} = 0, 
abla 	imes \vec{Y} 
eq 0, 
abla 	imes \vec{Z} = 0$

Answer

$
abla \cdot \vec{X} 
eq 0, 
abla 	imes \vec{Y} = 0, 
abla 	imes \vec{Z} 
eq 0$

Answer

$
abla \cdot \vec{X} 
eq 0, 
abla 	imes \vec{Y} 
eq 0, 
abla 	imes \vec{Z} 
eq 0$