[R] A question on orthogonal basis vectors

[Feng Zhang]

Hey, R-listers,

I have a question about determining the orthogonal 
basis vectors.
In the d-dimensinonal space, if I already know
the first r orthogonal basis vectors, should I be
able to determine the remaining d-r orthognal basis
vectors automatically?

Or the answer is not unique?

Thanks for your attention.

Fred