- #1

princessme

- 35

- 0

## Homework Statement

Compute the circulation of the vector

**a**= y

**i**+x

^{2}

**j**- z

**k**around the contour L: {x

^{2}+y

^{2}= 4; z = 3}, a) directly and b) via the Stokes Theorem.

Plot the contour and show its orientation.

## Homework Equations

Stokes theorem is [itex]\oint[/itex]

**F**.d

**r**= [itex]\int[/itex]∇ X

**F**.

**n**d

**S**

## The Attempt at a Solution

For (a) which is solving it directly, i used the left side of the equation [itex]\oint[/itex]

**F**.d

**r**and I obtained 0 as my answer. Having problem with part b. What should my ∇f be? Is it 2x

**i**+ 2y

**j**+ 0

**k**?