Propagation direction:

$\overline{)\hat{\mathbf{n}}{\mathbf{=}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{E}}{\mathbf{\times}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{B}}}$

The fields of an electromagnetic wave are

$\overrightarrow{\mathrm{E}}={\mathrm{E}}_{\mathrm{p}}\mathrm{sin}\left(\mathrm{kz}+\mathrm{\omega t}\right)\hat{\mathrm{j}}\mathrm{and}\overrightarrow{\mathrm{B}}={\mathrm{B}}_{\mathrm{p}}\mathrm{sin}\left(\mathrm{kz}+\mathrm{\omega t}\right)\hat{\mathrm{i}}$

Give a unit vector $\hat{\mathrm{n}}$ in the direction of propagation.

Express your answer in terms of the variables$\hat{\mathrm{i}}$,$\hat{\mathrm{j}}$, and$\hat{\mathrm{k}}$."

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