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