Find Curl F for the vector field at the given point.

Question

Find <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Curl F for the vector field at the given point.

Vector field                                                          Point

Answer 1

Step 1 :

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

Step 2 :

The vector field is and the point is .

Compare with .

and .

Find the curl of the vector field F.

Substitute the point in above equation.

The curl of the vector field F is

Solution :

The curl of the vector field F is