The decisive origin of vectors

Question

I have two endpoints (xa, ya) and (xb, yb) of two vectors, respectively a and b, coming from the same point (xo, yo). In addition, I know that | a | = | b | + s, where s is a constant. I tried to calculate the beginning (xo, yo), but it seems to work at some point. How to solve this?

Answer 1

Essentially, you have two line segments, and you know the position of one end for each and their difference in length. This easily leads to an infinite number of points where the ends can meet, and therefore do not uniquely identify your “origin”.

Answer 2

. .

Answer 3

The origin will be somewhere on a hyperbolic surface . Points a and b are foci.