In the complex plane ,the vertices of an equilateral triangle are represented by the complex numbers z_1,z_2 and z_3 ,prove that 1/(z_1-z_2)+1/(z_2-z_3)+1/(z_3-z_1)=0?
1/(z_1-z_2)+1/(z_2-z_3)+1/(z_3-z_1)=0
1 Answer
Cesareo R.
ยท
Jan 3, 2018
See below.
Explanation:
Calling
https://www.geogebra.org/geometry
Now,
but the numerator