A plane electromagnetic wave is propagating along the z-direction. If the electric field component of this wave is in the direction $(\hat{i}+\hat{j})$, then which of the following the direction of the magnetic field component:

$(\hat{\mathrm{i}}+\hat{\mathrm{j}})$

The magnetic field component is perpendicular to the direction of propagation and the direction of electric field. Using vector algebra E × B should be in z-direction.

∴ $(\hat{i}+\hat{j}) \times(-\hat{i}+\hat{j})=2 \hat{k}$