Answer with Explanation:
We are given that
Electric field vector=[tex]\vec{E}=E\hat{i}[/tex]
Magnetic field vector=[tex]\vec{B}=-B\hat{j}[/tex]
We have to find the direction of propagation of the wave.
We know that
The direction of propagation of wave=[tex]\vec{E}\times \vec{B}[/tex]
The direction of propagation of wave=[tex]\hat{i}\times (-\hat{j})=-\hat{k}[/tex]
Because ([tex]\hat{i}\times \hat{j}=\hat{k}[/tex])
The wave propagate in -z direction.
Therefore, the component of the vector is (0,0,-1).
Hence, the direction of the propagation of wave is - z direction and component of direction of propagation vector is (0,0,-1).