Given an irrotational vector field \overrightarrow{ F }=\left(k_{1} x y+k_{2} z^{3}\right) \vec{a}_{x}+\left(3 x^{2}-k_{3} z\right) \vec{a}_{y}+\left(3 x z^{2}-y\right) \vec{a}_{z} Find \nabla \overrightarrow{ F } at (1, 1, – 2).
Given an irrotational vector field \overrightarrow{ F }=\left(k_{1} x y+k_{2} z^{3}\right) \vec{a}_{x}+\left(3 x^{2}-k_{3} z\right) \vec{a}_{y}+\left(3 x z^{2}-y\right) \vec{a}_{z} Find \nabla \overrightarrow{ F } at (1, 1, – 2).