Find the product of the complex numbers.Leave answers in polar form. z1=1+i z2=−1+i

To find the product of the given complex numbers.
Solution:
The product for the complex numbers can be calculated as
${\displaystyle z_1\cdot z_2=(1+i)\cdot (-1+i)=i^2-1^2=-1-1=-2}$
The product of the complex numbers is obtained as, (−2) and can be written in polar form as,
${\displaystyle z_1\cdot z_2=-2z_1\cdot z_2=-2\left({\cos 0}^{\circ }+i{\sin 0}^{\circ }\right)}$
Hence, the product for the given complex numbers is obtained as ${\displaystyle -2\left({\cos 0}^{\circ }+i{\sin 0}^{\circ }\right)}$