$(1)$ A $3-$GHz electromagnetic plane wave is traveling in vacuum. Its magnetic induction vector B is aligned along the x$-$axis. If the average Poynting vector is given as $2598)+1500$k W$/$m$2$

$(1)$

What is the intensity of this wave?

$($ii$)$

Determine its wave length.

$($iii$)$

Write down an expression for its wave vector.

$($iv$)$

Determine the magnitude of the magnetic induction vector B$.$

$($v$)$

Find magnitude of the electric field vector E and its direction of oscillation.

The permittivity of vacuum is & $=8\mathrm{.}8542$ x $10-12$ C$2/$Nm$?,$ its permeability Ho

$4$m $10-7$ H$/$m and the speed of light is $3$ x $10\%$ m$/$s$.$