## anonymous one year ago ques

1. anonymous

How do you find $\vec \nabla \psi \times \vec \nabla \zeta$ In spherical coordinates?? I think it will be $\vec \nabla \psi \times \vec \nabla \zeta=\left|\begin{matrix}\hat e_{r} & \hat e_{\theta} & \hat e_{\varphi} \\ \frac{\partial \psi}{\partial r} & \frac{1}{r}\frac{\partial \psi}{\partial \theta}&\frac{1}{rsin(\theta)}\frac{\partial \psi}{\partial \varphi} \\ \frac{\partial \zeta}{\partial r} & \frac{1}{r}\frac{\partial \zeta}{\partial \theta} &\frac{1}{rsin(\theta)}\frac{\partial \zeta}{\partial \varphi} \end{matrix}\right|$ @IrishBoy123

2. IrishBoy123

of the top of my head, not sure spherical coordinates are toxic for cross and dot products