We have seen the following:
p.p¯=62+52
z.z¯=a2+b2
Now, observe that p.p¯=62+52 and z.z¯=a2+b2 are equal to the sum of the squares of the real and imaginary parts of p=6+5i and z=a+bi respectively.
So, we can represent p.p¯ and z.z¯ in terms of |p| and |z| respectively as follows:
