Consider a harmonic, electromagnetic plane wave traveling along a line from the origin to the point (3,5,6). It is linearly polarized and its electric field lies in a plane perpendicular to the direction of travel of the wave. The wavelength of the wave is 2.0 mm and it has a frequency of 100 Ghz.
(a) Write an expression for magnitude (i.e. don't worry about the orientation) of the electric frield of this plane wave if the amplitude of the electric field is 10 V/m.
(b) Compute the irradiance of the wave.
(c) Determine a unit vector for a possible direction that would define the direction of the electric field.