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=2Re(c). - Prove that cc=a2+b2. - What is the polar form of c=21+21i ? Use the fact that ei=cos+isin ? - Draw c=21+21i as a vector in the complex plane