The electric field associated with an electromagnetic wave travelling in vacuum is given by $$E_0\sin(3y+4z+\omega t)\hat{i}$$, where $$\omega$$ is the angular frequency. All quantities are in SI units. The correct statement(s) about this wave is(are):

[Given: speed of light in vacuum $$c=3\times 10^8\,\mathrm{ms^{-1}}$$.]

A

The wave is travelling in $$-\dfrac{1}{5}\left(3\hat{j}+4\hat{k}\right)$$ direction.

B

The magnitude of the wave vector is $$0.5\,\mathrm{m^{-1}}$$.

C

The value of $$\omega$$ is $$1.5\times 10^{9}\,\mathrm{rad\,s^{-1}}$$.

D

The magnetic field associated with this wave is given by $$\dfrac{E_0}{c}\sin(3y+4z+\omega t)(4\hat{j}-3\hat{k})$$.