VP $32\mathrm{.}2\mathrm{.}3$

Part I

A dental laser emits a sinusoidal electromagnetic wave that propagates in vacuum in the positive xx$-$direction with wavelength $6\mathrm{.}94$ mm$.$ At xx $=0$ and tt $=0$ the electric field E$$E$$ points in the $+$y$+$y$-$direction and its magnitude equals the amplitude EmaxEmax $=4\mathrm{.}20$ MV$/$mMV$/$m$.$ Find the magnitude of the magnetic field B$$B$$ at xx $=0$ and tt $=0.$

Find the direction of the magnetic field B$$B$$ at xx $=0$ and tt $=0.$

Find the magnitude of the electric field E$$E$$ at xx $=4\mathrm{.}34$ mm and tt $=0.$

Express your answer with the appropriate units.

Find the direction of the magnetic field E$$E$$ at xx $=4\mathrm{.}34$ mm and tt $=0.$

Find the magnitude of the magnetic field B$$B$$ at xx $=4\mathrm{.}34$ mm and tt $=0.$

Express your answer with the appropriate units.

Find the direction of the magnetic field B$$B$$ at xx $=4\mathrm{.}34$ mm and tt $=0.$