Let S be the square in the x y-plane shown in the figure below, oriented with the normal pointing in the positive z-direction.

Question

Let S be the square in the x y-plane shown in the figure below, oriented with the normal pointing in the positive z-direction. Estimate
∫∫F. dS  where F is a vector field whose values at the labeled points are
F(A) =(4,1,-2)
F(B)= (1,6,9)
F(C)=(6,-3,-5)
F(D)= (9,3,9)

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