Unit vector cross product:

$\overline{)\begin{array}{rcl}\mathbf{i}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{j}& {\mathbf{=}}& {\mathbf{k}}\\ \mathbf{j}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{i}& {\mathbf{=}}& \mathbf{-}\mathbf{}\mathbf{k}\\ \mathbf{j}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{k}& {\mathbf{=}}& {\mathbf{i}}\\ \mathbf{k}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{j}& {\mathbf{=}}& \mathbf{-}\mathbf{}\mathbf{i}\\ \mathbf{k}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{i}& {\mathbf{=}}& {\mathbf{j}}\\ \mathbf{i}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{k}& {\mathbf{=}}& \mathbf{-}\mathbf{}\mathbf{j}\\ \mathbf{i}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{i}& {\mathbf{=}}& {\mathbf{0}}\\ \mathbf{j}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{j}& {\mathbf{=}}& {\mathbf{0}}\\ \mathbf{k}\mathbf{}\mathbf{\times}\mathbf{}\mathbf{k}& {\mathbf{=}}& {\mathbf{0}}\end{array}}$

$\stackrel{\mathbf{\rightharpoonup}}{\mathbf{E}}\mathbf{}\mathbf{=}\mathbf{}\mathit{E}\hat{\mathbf{j}}\mathbf{,}\mathbf{}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{B}}\mathbf{}\mathbf{=}\mathbf{}\mathit{B}\hat{\mathbf{i}}$

Consider each of the electric- and magnetic-field orientations

What is the direction of propagation of the wave if **E** = *E* **ĵ** , ** B** = *B* **î**. Express the direction of the propagation vector, P, as a unit vector. Its three components should be entered in order (x,y,z) separated by commas. For example, if the wave propagates only in the -x direction, enter -1,0,0. <-- for all of them

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What scientific concept do you need to know in order to solve this problem?

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