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## Homework Statement

Evaluate the line integral of

**F**dot d

**r**by evaluating the surface integral in Stokes' Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation.

**= (y**

F

F

^{2}, - z

^{2}, x); C is the circle

**r**(t) = < 3cos(t), 4cos(t), 5sin(t) >

## Homework Equations

F[/B] is the vector field.

## The Attempt at a Solution

I found the curl of

**F**to be <2z, -1, -2y> and I computed the line integral and got 15pi, which is the correct solution, but I have to use Stokes' Theorem to arrive at that solution. My main problem is I have no clue how to solve for the normal vector to dot with the curl of

**F**. The main thing throwing me off is that C is already parameterized and I cannot see how to un-parameterize it to get the equation for the circle out.

Thank you in advance.