Moderate# Skew Plane Circle with Radius = $1$

MVCALC-V41FCX

Let $C$ be a circle of radius one lying on the plane $x+y+z = 6$. Calculate the circulation of:

$$\vec{F} = \langle e^{y+x} + 2xy, xy^2 + y^2z, 6y-x^2 \rangle$$

...about $C$ in the clockwise direction when viewed as in the figure.