Question

Let C be the hexagon in 3-space with corners at (−2,0,3), (−1,−5,3), (1,−5,3), (2,0,3), (1, 5,...

Let C be the hexagon in 3-space with corners at (−2,0,3), (−1,−5,3), (1,−5,3), (2,0,3), (1, 5, 3), and (−1, 5, 3). The curve C is oriented counterclockwise when viewed from above. Let
⃗
F (x, y, z) = 〈 yz4 cos(xy) , xz4 cos(xy) , 4z3 sin(xy) 〉.
⃗ Calculate the circulation of F along C.

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