Let f be a scalar field and F be a vector field. The following expressions either represent scalar fields, vector fields, or are completely meaningless. Determine which of the three applies to each expression and briefly explain why.
(a) curl f
(b) ?f
(c) divF
(d) curl(?f)
(e) ?F
(f) ?(divF)
(g) div(?f)
(h) ?(div f)
(i) curl(curlF)
(j) div(divF)
(k) (?f) x (divF)
(l) div(curl(?f))

? should be upside down as for a gradient sign. Thanks for any help you give! No need for in depth explanation, but it would help if you put a couple words down for how you got an answer.

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