VC3.17

From Exampleproblems

Given, $V=e^{xyz}(i+j+k)\,$

Hence $\mathrm{curl}F=\begin{vmatrix} i & j & k \\ \frac{\partial}{\partial x} & \frac{\partial}{\partial y} & \frac{\partial}{\partial z} \\ e^{xyz} & e^{xyz} & e^{xyz}\end{vmatrix}\,$

= $i[\frac{\partial e^{xyz}}{\partial y}-\frac{\partial e^{xyz}}{\partial z}]-j[\frac{\partial e^{xyz}}{\partial x}-\frac{\partial e^{xyz}}{\partial z}]+k[\frac{\partial e^{xyz}}{\partial x}-\frac{\partial e^{xyz}}{\partial y}]\,$