1)Evaluate the circulation of F⃗ =xyi⃗ +zj⃗ +6yk⃗ around a square of side 8, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis.

Circulation = ∫CF⃗ ⋅dr⃗ =

Question

1)Evaluate the circulation of F⃗ =xyi⃗ +zj⃗ +6yk⃗  around a square of side 8, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis. 

Circulation = ∫CF⃗ ⋅dr⃗  =

anonymous · Answer

|dw:1416982623461:dw|

anonymous · Answer

$$
\mathbf r(t) = (1-t)(\langle0,-4,4\rangle - \langle 0,4,4\rangle ) +\langle 0,4,4\rangle 
$$for $t\in [0,1]$.
This will parametrize the top side.
|dw:1416982891317:dw|