1. The problem statement, all variables and given/known data consider a vector z defined by the equation z=z1z2, where z1=a+jb, and z2=c+jd (j=complex: same as 'i'). (a) show that the length of z is the product of the lengths of z1 and z2. (b) show that the angle between z and the x axis is the sum of the angles made by z1 and z2 separately. P.S. this question is part of a personal study, so feel free to bring all information applicable without skipping steps, as to really solidify my understanding because i have to admit ive gotten to these 'upper level' math and physics classes and i feel as though i know nothing. lol Thank you in advance! 3. The attempt at a solution first off considering that this is 2 vectors being multiplied to get another vector im assuming that this is the cross product. if that is the case than i would start by simply taking the determinant resulting in: ad-cb, but at i wouldnt know what to do past this point.