12. (a) Consider again the vector field in Exercise 8 and its curl. Sketch the vector field and use your pic- ture to explain geometrically why the curl is as you calculated. (b) Use geometry to determine V × F, where F = (xi + yj + zk) /x² + y² + z² (c) For F as in part (b), verify your intuition by explic- itly computing V × F.

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A:

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