(Solved) Let F(x, y, z)=[l2 x-y z-x^2 , 3 y+x z+y^3 , 4 z-x y+z^4] . Calculate \vecG=∇ * F . The z -component of \vecG


Question: Let \(\vec{F}(x, y, z)=\left[\begin{array}{l}2 x-y z-x^{2} \\ 3 y+x z+y^{3} \\ 4 z-x y+z^{4}\end{array}\right] . \quad\) Calculate \(\vec{G}=\nabla \times \vec{F} . \quad\) The \(z\) -component of \(\vec{G}\) is

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