I am trying to plot the following. Let $\Gamma^\top \Gamma=1$, and $e_3=\{0,0,1\}$ (unit vector along Z-axis). I am trying to plot $\dot \Gamma=e_3\times \Gamma$.
Tried the following: $\Gamma =\{\cos (\theta ) \cos (\phi ),\cos (\theta ) \sin (\phi ),\sin (\theta )\};$ and used $\text{VectorPlot}[\text{e3}\times \gamma ,\{\theta ,-\pi ,\pi \},\{\phi ,-\pi ,\pi \}]$
But VectorPlot
says it need three argument.