Problem 2 Check the divergence theorem using the function45. . .+ + + = k yz j z xy i y v ) 2 ( ) 2 (2 2And the unit cube is situated at the origin.ZYX46Curl of Vector Fields Curl is a vector operator that shows a vectorfield's rate of rotation, i.e. the direction of theaxis of rotation and the magnitude of therotation.0 = curl v0 = V v4748 The curl of a vector fieldis defined as k j i F ) , , ( ) , , ( ) , , ( ) , , (3 2 1z y x F z y x F z y x F z y x + + =||.|

\|cccc+|.|

\|cccc||.|

\|cccc=cccccc= V =yFxFkzFxFjzFyFiF F Fz y x1 2 1 3 2 33 2 1curlk j iF F