Re: [Algorithms] decompose onto non-orthogonal vectors

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

Tom Forsyth  wrote:

>Throw one of the dimensions away (any one) - then you have only two
>equations. NOW can you solve it? :-)
>
>The third dimension will just give the same answer if p lies in the plane of
>a and b. If it isn't, then it's not a well-formed question, and you'll need
>another axis (c) to define a suitable basis. 

Not true.  p can very well lie in the plane of a and b without that
plane being a coordinate plane.  In that case, the problem is well
formed and your solution will give the wrong answer.