Please show solutions clearly, thank you

3. The electric field of an electromagnetic wave is described by the equation Ey ( x, t ) = 6( c) Sin Lo-ST (3x+wt) where t is in seconds and x is in meters. a) Determine the wavelength, frequency, and velocity of the wave. (5 pts) b) Determine the direction of vibration and direction of propagation of the electric field? (5 pts) c) Write an equation of the magnetic field (5 pts) d) Determine the direction of vibration and direction of propagation of the magnetic field? (5 pts) Solution