Consider the interference of two plane waves of wavelength λ. The first wave propagates in the z direction while the second wave propagates at an angle of 57 degrees with respect to the z axis in the xz plane. a) Determine the period of the interference pattern observed in the x direction at z = 0 when the waves are of equal amplitude b) Determine the period of the interference pattern observed in the x direction at z = 10 when the amplitude of the first wave is 5 times larger than the amplitude of the second wave. ​