How to Determine Constants in Electromagnetic Wave Equations?

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ettojar
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Electromagnetic wave in a vacuum:

E=(1.3i + 2.6j + Ak) (10^2 V/m) e^i[(2.1x + Cy + 2.1z) 10^7 m^-1 - Dt]
B=(-7.5i + Bj + 7.5k) (10^-7 T) e^i[(2.1x + Cy + 2.1z) 10^7 m^-1 - Dt]

Find A,B,C,D


Not too sure how to approach, but since both have to be perpendicular to propagation should A and B = 0?
 
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no, how did you get that? but i think you have answered half the question, if you know the fields are perpindicular to the direction of propagation,

so what is the direction of propagation & try some dot products...

also how are the direction of the E & B fields related? What does represent & how is it relate to the speed of light?