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## Homework Statement

I've derived the EM wave equations from Maxwell's equations, and I now need to show that the E and B components are both perpendicular to each other and to the direction of propagation.

The text book I've been using attempts to show why this is, but it isn't particularly clear and seems to assume that propagation and one of the components are perpendicular.

## Homework Equations

[tex]\nabla^2E = \mu_0 \epsilon_0 \ddot{E}[/tex]

[tex]\nabla^2B = \mu_0 \epsilon_0 \ddot{B}[/tex]