Show that curl(F) = 0 if F is radial, meaning that F = f
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Show that curl(F) = 0 if F is radial, meaning that F = f (?)x, y,z for some function f (?), where ? = x2 + y2 + z2. H
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Show that curl(F) = 0 if F is radial, meaning that F = f (?)x, y,z for some function f (?), where ? = x2 + y2 + z2. Hint: It is enough to show that one component of curl(F) is zero, because it will then follow for the other two components by symmetry
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