Problem 2: Recall that the complex numbers z1 = 1 + yil and z2 = $2 + 92 can be represented by vectors v1 = (21, y1) and V2 = (2, y2) in the plane. Assume that 21, 22 0. Show that the vectors v1 and v2 are (a) perpendicular if and only if Re(21z2) = 0. (b) parallel if and only if Im(2122) = 0