The magnetic vector of a plane electromagnetic wave is described as follows: b =k b, cos[(10 meter")y+(3x10° s'); ] where k is a unit vector in the 2-direction, y is in meters, and is in seconds. (a) what is the wavelength 1 of the wave? your answer can contain a. indicate units! (b) what is the period t of the wave? your answer can contain a. indicate units! (c) in which direction does this wave propagate? be sure to indicate the direction of propagation with a unit vector (i, j, or k ) and an appropriate sign (+ or briefly explain why you choose this direction. (d) write an expression for the electric vector e of the wave in terms of the quantities given and the speed of light c. be sure to indicate the direction of the electric vector with a unit vector (i, j, or k ) and an appropriate sign (+ or (e) what is the time-dependent poynting vector associated with this wave? do not time- average. be sure to give both magnitude and direction, and write the magnitude in terms the speed of light c, b., and h., in addition to the numerical constants given. do not use e, in your final expression.