For the vector field F =
e- k r r,
where
and k is a positive constant,
- find the divergence of F .
- find the curl of F .
- find where div F = 0 and classify this
surface.
- find where the magnitude F of the
vector field F attains its maximum value.
- show that
is a potential function for the vector field F.
- find the work done to move a particle from the origin to a place
where div F = 0.