Observational data on the relative orientation of angular momentum vec
tors in three samples of multiple stars are analyzed and compared with
model calculations. The models used are uniform distribution of the a
ngle phi between the vectors over the interval (0, phi) for a fractio
n p of the systems, and random relative orientation of the vectors in
the remaining systems. The distribution of differences in orbital incl
ination angles in 31 spectroscopic-visual multiple systems corresponds
to models with parameters (phi, p) = (20-degrees, 0.5) or (60-degree
s, 1 ). The distribution in angle phi in 14 systems where two visual o
rbits are known is best described by models with parameters (60-degree
s, 0.7) or (40-degrees, 0.6). Both observed distributions differ signi
ficantly from models with p = 0, i.e., they do not correspond to rando
m relative orientation of orbits. The third sample consisted of 96 orb
ital visual binary stars with distant companions. The distribution of
the angle between the line of nodes and the direction to the companion
does not show the expected attributes of orbital coplanarity, but com
parison of the apparent sense of rotation of a close pair and companio
n in 37 systems shows predominant corotation, and the observed fractio
n of systems with corotation corresponds to models with p > 0. 5.