Write down the (real) electric and magnetic fields for a monochromatic plane wave of amp...

Write down the (real) electric and magnetic fields for a monochromatic plane wave of amplitude E₀, frequency ω, and phase angle zero that is (a) traveling in the negative x direction and polarized in the z direction; (b) traveling in the direction from the origin to the point (1, 1, 1), with polarization parallel to the xz plane. In each case, sketch the wave, and give the explicit Cartesian components of k and