We consider the vector field i ii 3 U R R 7 x y z sin z 6y 2x 3 cos x Show that this vector field has a vector potential

Question

We consider the vector field i ii 3 U R R 7 x y z sin z 6y 2x 3 cos x Show that this vector field has a vector potential Determine a vector potential a of the form x y z 0 a2 x y z az x y z x y z R with continuously partially differentiable functions a2 a3 R R

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