Question: 5. (4 marks) Let F be a C-vector field on R3 and u ERP be a unit vector. Prove that for every (x, y, z)

5. (4 marks) Let F be a C-vector field on R3

5. (4 marks) Let F be a C-vector field on R3 and u ERP be a unit vector. Prove that for every (x, y, z) e R3 (V x F(x, y, z)) . u = lim Fids, where C, is the circle of radius r in R3 centered at (x, y, z) lying in the plane perpendicular to u. 5. (4 marks) Let F be a C-vector field on R3 and u ERP be a unit vector. Prove that for every (x, y, z) e R3 (V x F(x, y, z)) . u = lim Fids, where C, is the circle of radius r in R3 centered at (x, y, z) lying in the plane perpendicular to u

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