Problem 1.1. For complex number c = a + bi, recall that the real and imaginary parts of c are denoted Re(c) a and Imag(c) = b. - ( 4 Points) Prove that c + c* = 2. Re(c). Prove that cc* = a + b. What is the polar form of c = Draw c= ? Use the fact that e = cos 0 + i sin 0? as a vector in the complex plane.