thesocialnetwork wrote:

Let

and

Let P be the point that corresponds to z.

The point Q that corresponds to the complex number zw is obtained by

1) scaling of the distance OP by the factor k, followed by,

2) rotating the point P anticlockwise about the origin through the angle

If k < 0, then scaling of distance from the origin by a factor of |k| will be in the opposite direction.

My issue: this is from some notes I have from school and I don't understand the last sentence. What does it mean, "scaling of distance will be in the opposite direction"?

thank you!

If k<0 then write

then use that

and you get your original case with

which, of course, means you scale by |k| and the

bit of the angle forces you another 180 degree rotation, which is in the opposite direction of the original.