Let $\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle$

question 16

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle$ , find $\nabla \cdot ( \nabla \times \mathbf { F } )$ at the point $( 1,3,1 )$ .

• A) \(2\)
• B) \(4\)
• C) \(6\)
• D) \(1\)
• E) \(- 2\)
• F)\(- 4\)
• G)\(- 6\)
• H)\(0\)

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