Find the curl of vector field. F(x, y, z) = xyz i - x^2 y k ∇xF = 0 No curl in this vector field. The book's answer is ∇xF = -x^2 i + 3xy j - xz k Who is right and why?
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Originally Posted by USNAVY Find the curl of vector field. F(x, y, z) = xyz i - x^2 y k ∇xF = 0 No curl in this vector field. The book's answer is ∇xF = -x^2 i + 3xy j - xz k Who is right and why? $\nabla\times F=\left| {\begin{array}{*{20}{c}} {\partial x}&{\partial y}&{\partial z} \\ {xyz}&0&{ - {x^2}y} \end{array}} \right| = - {x^2}i + 3xyj - xzk$ It appears that the textbook is correct.
It is very easy to make simple sign errors when calculating the determinant for the curl F. I believe this to be my problem.