Answer
$0$
Work Step by Step
Here, we have: $ \oint F \cdot dr=\oint x dx +y dy +z dz$
The circulation can be expressed as:
$\oint F \cdot dr =\oint(xi+y j+zk) \cdot ( dx i+dy j +dz k) $
We have circulation with the initial point and ending point as $(a,b,c)$.
Now,
$Circulation =\oint F \cdot dr =\int_{a}^a x dx + \int_{b}^b y dy +\int_{c}^c z dz $
or, $Circulation=[\dfrac{x^2}{2}]_a^a +[\dfrac{y^2}{2}]_b^b+[\dfrac{z^2}{2}]_c^c$
or, $Circulation=0+0+0$
or, $Circulation=0$
