Question : Find curl of the following Vector Field \[F\left(x,y,z\right)=\left(2xz\ ,-z^2,\ x^2\right)\] Solution : To Find curl of Vector Field \[F\left(x,y,z\right)=\left(2yz\ ,\ -z^2,\ x^2\right)\] curl of Vector Field F(x,y,z) is given as \[\nabla\times F=\left|\begin{matrix}\hat{i}&\hat{j}&\hat{k}\\\frac{\partial}{\partial x}&\frac{\partial}{\partial y}&\frac{\partial}{\partial z}\\2yz&\ -z^2&\ x^2\\\end{matrix}\right|\] \[\nabla\times…
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