RE: [Algorithms] decompose onto non-orthogonal vectors

[Ignacio C. <i6...@ho...>]

Discoe, Ben wrote:
> Given a point p and two unit vectors a and b like this:
> 
>       b
>      /
>    v/----p
>    /    /
>   /    /
>  /    /
> ---------a
>     u
> 
> how to you get scalars (u,v) such that u*a + v*b = p?
> Ie. decompose p onto a and b.

what you are trying to do is usually called 'change of basis'

look here for further explanations:
http://www.math.hmc.edu/calculus/tutorials/changebasis/


Ignacio Castano
ca...@cr...