(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the geometric image of the complex number z, if [tex]z, z^2, z^3[/tex] are the vertices of a right triangle.

2. Relevant equations

3. The attempt at a solution

I tried expanding [itex]z^2, z^3[/itex], and than using both the pythagoras theorem, and vectors (in separate attempts), but failed to get at a solution.

All help is very appreciated :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Right triangle with complex vertices

**Physics Forums | Science Articles, Homework Help, Discussion**