A uniform plane wave with$()$

xtzytxE $12$cos$)3020(),(=$

$$

$$

$[$V$/$m$]$

is given in free$-$space.

$($a$)$ Determine the direction of the propagation.

$($b$)$ What is the frequency of the wave in Hz$?$

$($c$)$ What is the polarization of the wave?

$($d$)$ What is the corresponding magnetic field H$($x$,$t$)$

$($e$)$ What is the time average power density of the wave.

$($f$)$ What is the wavelength of the wave?