CODEWITHSUNDEEP
mathgraphicsvector
Mike
Mike

Reputation: 33

solving origin of a vectors

I have two endpoints (xa,ya) and (xb,yb) of two vectors, respectively a and b, originating from a same point (xo, yo). Also, I know that |a|=|b|+s, where s is a constant. I tried to compute the origin (xo, yo) but seem to fail at some point. How to solve this?

Upvotes: 3

Views: 135

Answers (3)

Beta
Beta

Reputation: 99144

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

Upvotes: 0

Matti Virkkunen
Matti Virkkunen

Reputation: 65146

Essentially you have two line segments and you know the position of one end for each and their length difference. This easily results in an infinite amount of points where the ends could meet, and therefore doesn't uniquely identify your "origin".

Upvotes: 1

Marcelo Cantos
Marcelo Cantos

Reputation: 185962

In the general case, there isn't a unique solution. You need another constraint.

Upvotes: 2

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