Find $\int_C\vec F\cdot d\vec r$ where $C$ is a circle of radius $1$ in the plane $x+y+z=6$, centered at $(1,4,1)$ and oriented clockwise when viewed from the origin, if $\vec F = -7 z\vec j + 5 y\vec k$

$\int_C\vec F\cdot d\vec r =$