Q: "If O,A,P,Q respectively represent complex numbers 0, 1, z1, z2, construct the point R so that △OAP is similar to △ORQ. Find the complex number represented by R.
A: R = z1/z2.
Now, consider arg(R) = arg z1 - arg z2
My diagram:
Notice how this will result in arg(r) = arg z1 + arg z2 which...