Problem

(a) Consider again the vector field in Exercise 8 and its curl. Sketch the vector field...

(a) Consider again the vector field in Exercise 8 and its curl. Sketch the vector field and use your picture

to explain geometrically why the curl is as you calculated.

(b) Use geometry to determine ∇ ×F, where F =

(c) For F as in part (b), verify your intuition by explicitly computing ∇ ×F.

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