If  is a vector field on  and the partial derivatives of P , Q  and R  all are exists, then the curl of F is 

, or

And the divergence of F is .

(a)

The vector field is .

Compare  with .

 and .

Find the curl of the vector field F.

The curl of the vector field F is 

(b)

Consider .

Apply partial derivative on each side with respect to x.

Consider .

Apply partial derivative on each side with respect to y.

Consider .

Apply partial derivative on each side with respect to z.

Find the divergence of the function.

Substitute corresponding values.

The divergence of the vector field F is 

(a) The curl of the vector field F is .

(b) The divergence of the vector field F is