The trick, as I see it, is getting the vector equation of the circle.
This article should help.
https://math.stackexchange.com/questions/2870364/parametric-equation-of-a-circle-on-a-3d-plane
Find ∫CF⋅dr where C is a circle of radius 1 in the plane x+y+z=4, centered at (3,2,−1) and oriented clockwise when viewed from the origin, if F=4yi−3xj+3(y−x)k
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