Question: please help me to solve these questions Let F(x, y, z) be any continuously differentiable vector field on all R3. Let C be the circle

please help me to solve these questions

please help me to solve these questions Let F(x, y, z) be

Let F(x, y, z) be any continuously differentiable vector field on all R3. Let C be the circle x2 + y? = 1 in the xy-plane, oriented counterclockwise when viewed from above. Which one of the following must be equal to , F . dr? (a) So(V x F) . dr (b) SS (V x F) . dS, where E is the hemisphere x2 + 2 + 22 = 1 with > > 0, and upward orientation. (c) SS, F . dS, where E is the hemisphere x2 + y2 + 22 = 1 with z 2 0, and upward orientation. (d) SSS(V . F) dV, where E is the unit ball x2 + + 22

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