how do you Find curl of vector field (y-z z-x x-y)

Question : Find curl of vector field (y-z z-x x-y) Solution : To Find curl of vector field (y-z z-x x-y) Given vector field \[F\left(\begin{matrix}x\\y\\z\\\end{matrix}\right)=\left(\begin{matrix}y-z\\z-x\\x-y\\\end{matrix}\right)\] 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}\\y-z&\ z-x&\ x-y\\\end{matrix}\right|…

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