Question

Dealing with a problem regarding electromagnetic wave viewed as a vector, more information posted below.

Answer 1

"The fields of an electromagnetic wave are \[E = E_{p}\sin(kz+\omega t)j, \ \ \ B = B_{p}\sin(kz+\omega t)i.\]
Give a unit vector in the wave's propagation direction."

I'm guessing this solely on intuition, but would the propagated wave be in the direction of the cross product of the two vectors?

Answer 2

The wave propagation direction is E x B.... that is E_hat cross B_hat. Yup you got it, EM fields always travel in a direction perpendicular to their oscillating E and M fields

Answer 3

By the way, I like the name!