Question

Little help with surface integrals and divergence?

Answer 1

Let \(\large i,j,k \) be unit vectors in Cartesian coordinates and \(\large e_r, e_{\theta},e_z\) be unit vectors in cylindrical coordinates. Show that
\[\large i = e_r cos\theta - e_\theta sin\theta\]
\[\large j = e_r sin\theta + e_\theta cos\theta\]
\[\large k = e_z\]

Answer 2

So I'm trying a few things here