The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by:
Curl F = (∂R/∂y - ∂Q/∂z)i - (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
For the given vector field F(x, y, z) = e^zi + 9j + xezk, we have P(x, y, z) = e^z, Q(x, y, z) = 9, and R(x, y, z)
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