The electric field in a plane wave propagating through empty space is described by the equation E $($y$,$t$)=$ E sin$($kz $$ wt$)$j$.$ Answer the following questions concerning the wave. a$)$ What direction is the wave traveling in$?$ b$)$ What is the amplitude of the magnetic field of the wave? c$)$ When the electric field vector is along the y$-$axis, in what direction is the magnetic field pointing?