- #1
jollage
- 63
- 0
Hi,
Given several vectors, which may be or not be orthogonal to each other, how to construct a vector perpendicular to them? In a sense of inner production being zero.
To be specific, I have [itex]n[/itex] vectors [itex]v_{N}[/itex] of length [itex]N[/itex], where [itex]n<N[/itex]. So the maximum rank for these vectors is [itex]n[/itex], which leaves space for new vectors perpendicular to all of them. How to construct such a vector? I know Gram-Schmidt process, but it seems it's not what I want.
Thanks.
Given several vectors, which may be or not be orthogonal to each other, how to construct a vector perpendicular to them? In a sense of inner production being zero.
To be specific, I have [itex]n[/itex] vectors [itex]v_{N}[/itex] of length [itex]N[/itex], where [itex]n<N[/itex]. So the maximum rank for these vectors is [itex]n[/itex], which leaves space for new vectors perpendicular to all of them. How to construct such a vector? I know Gram-Schmidt process, but it seems it's not what I want.
Thanks.