Problem $3)$ Laser light $[50$ points$]$

A laser beam with wavelength $=633nm$ is propagating through air in the $+z-$direction. Its electric field is parallel to the $x-$axis and has amplitude $($peak electric field$)E_p=6\mathrm{.}0\frac{kV}{m}.$

a$)$ Find the wave frequency $f.$

b$)$ Find the amplitude $B_p$ of the magnetic field $($numerical value in units of tesla, T $).$

c$)$ Find the direction of the magnetic field.