Covariant vectors vs reciprocal vectors

1. Jul 22, 2008

ForMyThunder

If there is a contravariant vector

v=aa+bb+cc

with a reciprocal vector system where

[abc]v=xb×c+ya×c+za×b

would the vector expressed in the reciprocal vector system be a covariant vector?

Is there any connection between the reciprocal vector system of a covariant vector and a

covariant vector?

2. Jul 24, 2008

ForMyThunder

Nevermind, I think I understand it now.