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## Homework Statement

Let [tex] \vec{F} = (z - y)\vec{i} + (x - z)\vec{j} + (y - x)\vec{k} [/tex] . Let C be the rectangle of width 2 and length 5 centered at (9, 9, 9) on the plane x + y + z = 27, oriented clockwise when viewed from the origin.

[tex] \int\limits_C \vec{F} d\vec{r} [/tex] ?

## Homework Equations

## The Attempt at a Solution

I've already computed the curl F and so now I need to solve the dA. What is the dA here?

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