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## Homework Statement

Have two electric fields.

[tex]\hat{x} E_1 e^{i(kz- \omega t)}[/tex]

[tex]\hat{x} E_2 e^{i(-kz- \omega t)}[/tex]

Where E_1, E_2 are real.

Sum them such that the result can be expressed as one magnitude and exponential, e.g., |E|e^(iq), Where E is real.

I have no clue how I would begin to simplify this. Any ideas? It's from an undergraduate text.