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

  1. $\bigtriangledown . \vec{X}=0,\bigtriangledown \times \vec{Y} \neq 0, \bigtriangledown \times \vec{Z}=0$
  2. $\bigtriangledown . \vec{X} \neq 0,\bigtriangledown \times \vec{Y} = 0, \bigtriangledown \times \vec{Z} \neq 0$
  3. $\bigtriangledown . \vec{X} \neq 0,\bigtriangledown \times \vec{Y} \neq 0, \bigtriangledown \times \vec{Z} \neq 0$
  4. $\bigtriangledown . \vec{X}=0,\bigtriangledown \times \vec{Y} = 0, \bigtriangledown \times \vec{Z}=0$
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