(a) Determine which of the following vector fields is a curl. If F is a curl vector field, find G such that F = V × G. (i) F = (x, y, z) (b) Consider the vector field F(x) (ii) F = (x²-1, z — 2xy, y) - = x 3 on R³ \{(0,0,0)}. Show that div(F) = 0, but F curl(G) for any C¹ vector field G.

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Q: (c) For the vector fields defined in part (b), evaluate separately each term in the iden- tity given…

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A: The given function .We have to find the .

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Q: Compute the curl of F = (2xy, x²y + x²).

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