Re: [Algorithms] decompose onto non-orthogonal vectors

[<ro...@do...>]

Will Portnoy  wrote:

>> how to you get scalars (u,v) such that u*a + v*b = p?
>> Ie. decompose p onto a and b.
>
>Regardless of what the answer is, you have one equation (ua + vb = p) and
>two unknowns (u and v).  

Nah, it's one vector equation, so two scalar equations.

>You need to come up with an equation involving u
>and/or v that is linearly independent of the first equation, and then you
>can solve the system of linear equations.
>
>You could make up something like:
>
>u + v = 1, which is the same as v = 1 - u
>
>and then substitute in to the first equation:
>

This part and the remainder is utter nonsense.