  The observations of fluctuations in the cosmic microwave background provide
information about primordial inhomogeneities in the universe. However, the
B-mode polarization of the inflationary gravitational wave is contaminated by
the Galactic foreground polarized radiation arising from dust aligned by
interstellar magnetic fields. To trace magnetic fields we use the Velocity
Gradient Technique, which employs a modern understanding of the nature of
magneto-hydrodynamics turbulent motions. In this paper, we combine the VGT with
the Principal Component Analysis (PCA) to improve the accuracy of magnetic
field tracing. We apply the VGT-PCA to the high-resolution neutral hydrogen
data from the GALFA-HI survey to predict the polarization of dust. We report
that the predicted directions of dust polarization provide good correspondence
with those reported by Planck 353GHz, the alignment measure between the two
AM=0.79. We show that our results statistically agree with the Planck
polarization in terms of magnetic field tracing. We find that the variation of
dust emission efficiency across the sky is small. Using our maps of predicted
polarization we calculate the ratio of the E and B modes and show that
BB/EE=0.53, which is similar to the result from Plank polarization.
