anonymous
  • anonymous
ques
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • 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
IrishBoy123
  • IrishBoy123
of the top of my head, not sure spherical coordinates are toxic for cross and dot products

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