  Investigating intrinsic alignments (IAs) of galaxy shapes is important not
only to constrain cosmological parameters unbiasedly from gravitational lensing
but also to extract cosmological information complimentary to galaxy clustering
analysis. We derive simple and useful formulas for the various IA statistics,
including the intrinsic ellipticity--ellipticity correlation, the gravitational
shear--intrinsic ellipticity correlation, and the velocity-intrinsic
ellipticity correlation functions. The angular dependence of each statistic is
explicitly given, namely the angle between the line-of-sight direction and the
separation vector of two points. It thus allows us to analyze anisotropies of
baryon acoustic oscillations encoded in the IA statistics, and we can extract
the maximum cosmological information using the Alcock-Pacyznski and
redshift-space distortion effects. We also provide these formulas for the
intrinsic ellipticities decomposed into E and B modes.
