What is the direction of propagation of the wave if E⃗ =Ei^,B⃗ =−Bj^. Express the direction of the propagation vector, P⃗ , 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.

Respuesta :

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).