An electromagnetic wave travels in vacuum along z-direction with $E=\left(E_1 \hat{i}+E_2 \hat{j}\right) \cos (k z-\omega t)$. Choose the correct options from the following:

The given electromagnetic wave is plane polarised

Here, in electromagnetic wave, the electric field vector is given as, $E=\left(E_1 \hat{i}+E_2 \hat{j}\right) \cos (k z-\omega t)$

In electromagnetic wave, the associated magnetic field vector, $B=\frac{E}{c}=\frac{E_1 \hat{i}+E_2 \hat{j}}{c} \cos (k z-\omega t)$

Also, E and B are perpendicular to each other and the propagation of electromagnetic wave is perpendicular to E as well as B, so the given electromagnetic wave is plane polarised.