Question : Find divergence of the following Vector Field

Question : Find divergence of the following Vector Field\[F\left(x,y,z\right)=\left(xyz\ ,\ -yz^2,\ x^2\right)\] Solution : To Find divergence of Vector Field \[F\left(x,y,z\right)=\left(xyz\ ,\ -yz^2,\ x^2z\right)\] Writing this as vector \[F\left(x,y,z\right)=xyz\hat{i}-yz^2\hat{j}+x^2z\hat{k}\] Now divergence of Vector Field F(x,y,z) is given as \[\nabla.\ F=\left(\hat{i}\frac{\partial}{\partial…

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