# Proving E and B are orthogonal

Kidphysics

E . B =0

∇xE=B

## The Attempt at a Solution

I know AxB=C implies both A and B are orthogonal to C but does the same thing ring true for the Del cross something? In any case, is there a nice simple proof for the problem stated? This is not HW by the way but seems to be a bit homeworish

You're going to have to be way more detailed. I'm assuming E and B are the electric and magnetic field respectively. If so, then in general they are not orthogonal. For special solutions to Maxwell's equations they can be orthogonal, such as for vacuum radiation fields, but it is certainly not true in full generality.

Kidphysics
You're going to have to be way more detailed. I'm assuming ##E## and ##B## are the electric and magnetic field respectively. If so, then in general they are not orthogonal. For special solutions to Maxwell's equations they can be orthogonal, such as for vacuum radiation fields, but it is certainly not true in full generality.

ah, for it to be light must they be orthogonal?