Show that [ mathbf{F}(x, y, z)=leftlangle 2 y-1,3 z^{2}, 2 x yightangle ] has a vector potential
Question:
Show that
\[
\mathbf{F}(x, y, z)=\left\langle 2 y-1,3 z^{2}, 2 x yightangle
\]
has a vector potential and find one.
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