Find remaining vertices of a square, given 2
I need a hint for this problem.
Let the vertices of a square ABCD represent on the Argand diagram the complex numbers a,b,c, and d respectively. A,B,C,D are taken anti-clockwise in the order named.
If $$a = 3 + i, b = 4 - 2i$$, find c and d.
For a different problem, where square was at the origin, I used the idea that $$i(z_1)$$ is an anti-clockwise rotation and since it's a square etc. But here it's not at the orgin. Any help is much appreciated. Thanks.
You can make a translation so that one of the vertices goes to the origin, then make the inverse translation.