Find work done by $F = \langle x,y,xz-y\rangle$ along $C:$ line segment from $A(0,0,0) $ to $B(2,1,2)$
$AB =\langle 2 , 1, 2\rangle$
Let $x=2t$ $ \; \; y =t \; \; z=2t$
$\int_{c}^{} F.dR = \int_{c}^{} xdx + ydy + (xz-y)dz = \int_{0}^{1} 8t^2 + 3t = 25/6$
Is this correct ? Answer given on the back of my book is different. It says no work done. I don't see how?