At time t$0,$ a localized magnetic field is detected at $4\mathrm{.}36,2\mathrm{.}95,0$m$,$ with a direction B$^=0\mathrm{.}6458,0\mathrm{.}7635,0.$ A short time later, this localized magnetic field is detected at $5\mathrm{.}17,5\mathrm{.}11,0$m$.$ It is determined that this magnetic field is due to passing electromagnetic radiation.

A$.$ What is k$^,$ the direction of propagation of the radiation?

$,,$

B$.$ What is E$^,$ the direction of the electric field at time t$0?$

$,,$