  Let $(\omega, A_E)$ be a quasi-periodic Schr\"odinger cocycle, where $\omega$
is a Diophantine irrational. The potential is assumed to be $C^2$ with a unique
non-degenerate minimum, and the coupling constant is assumed to be large.
  We show that, as the energy approaches the lowest energy of the spectrum from
below, the distance between the Oseledets-directions, in projective
coordinates, is asymptotically linear. Moreover, we show that the $C^2$-norm of
the Oseledets-directions, in projective coordinates, grows asymptotically
(almost) like the inverse of the square root of the distance.
  Both of these results confirm numerical observations.
