$(10$ points$)$ Using the line integral, evaluate $o{\displaystyle \underset{C}{\overset{\phantom{}}{}}}F*dr$ assuming C is oriented counterclockwise, where

$F=(x+2z)i+(3x+y)j+(2y-z)k$

C is the curve of intersection of the plane $x+y+z=1$ with the coordinate planes. Warning: There will be no credit if the Stoke's theorem is used