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

Question

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

TuteeHUB · Accepted Answer

$\nabla .\vec X = 0,\nabla \times \vec Y = 0,\nabla \times \vec Z = 0$

TuteeHUB · Answer

$\nabla .\vec X = 0,\nabla \times \vec Y \ne 0,\nabla \times \vec Z = 0\;$

TuteeHUB · Answer

$\nabla .\vec X \ne 0,\nabla \times \vec Y = 0,\nabla \times \vec Z \ne 0$

TuteeHUB · Answer

$\nabla .\vec X \ne 0,\nabla \times \vec Y \ne 0,\nabla \times \vec Z \ne 0$

1.	The figures show diagrammatic representations of vector fields \(\vec X,\;\vec Y,\;and\;\vec Z\) respectively. Which one of the following choices is true?
A.	\(\nabla .\vec X = 0,\nabla \times \vec Y \ne 0,\nabla \times \vec Z = 0\;\)
B.	\(\nabla .\vec X \ne 0,\nabla \times \vec Y = 0,\nabla \times \vec Z \ne 0\)
C.	\(\nabla .\vec X \ne 0,\nabla \times \vec Y \ne 0,\nabla \times \vec Z \ne 0\)
D.	\(\nabla .\vec X = 0,\nabla \times \vec Y = 0,\nabla \times \vec Z = 0\)
Answer» D. \(\nabla .\vec X = 0,\nabla \times \vec Y = 0,\nabla \times \vec Z = 0\)

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

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