Question

The divergence of the vector field \(\left( {x - y} \right)\hat i + \left( {y - x} \right)\hat j + \left( {x + y + z} \right)\hat k\) is

Answer 1

Correct Answer - Option 4 : 3

\(div\left\{ {\left( {x - y} \right)\hat i + \left( {y - x} \right)j + \left( {x + y + z} \right)\hat k} \right\}\)

\(= \frac{\partial }{{\partial x}}\left( {x - y} \right) + \frac{\partial }{{\partial y}}\left( {y - x} \right) + \frac{\partial }{{\partial z}}\left( {x + y + z} \right) = 3\)