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

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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