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Hi. This is my first question on PF so please forgive me if something's not right

So I'm stuck at this question in EMT

In frame1, E and B are parallel and related by E=cB. We are required to find the cosine of the angle between electric field E' and magnetic field B' in another frame (The answer is to be in terms of B and B')

2. Homework Equations

We know that if E = Eo*e^(ik.r-wt) along n vector

then B = Bo*e^(ik.r-wt) along (n X k), where k is the wave propagation vector.and Bo = Eo/c

3. The Attempt at a Solution

Well I'm stuck at the first line itself. How can E and B be parallel? They're both always at 90 deg to each other as well as to the direction of propagation of the wave (as shown by the directions in the above two equations), isn't it?