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- About the divergence of vector fields 2 answers
I've been explained that a vector field, when seen as "arrows" in the plane, has 0 divergence when its magnitude doesn't change, i.e. when the "arrows" keep same length. But the following examples puzzle me:
$F(x)=x/|x|$ has always norm 1 but its divergence is not 0
$F(x)=x/|x|^2$ has not constant norm but its divergence is 0
Is there some contradiction or do I have a wrong/incomplete picture?