The magnetic field in a plane electromagnetic wave is represented by the equation

B $=$ Bmax sin$($ky $$t$)$

where

Bmax $=4\mathrm{.}01107$ T

and

k $=2\mathrm{.}03107/$m$.$

$($Assume a standard xyz right$-$handed coordinate system.$)$

$($a$)$ What is the magnitude and direction of the electric field at the instant the magnetic field is a maximum? $($Express your answer in vector form.$)$

Emax $=$

V$/$m

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

nm

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