  We explore some more consequences of the $SU(3)_L\otimes U(1)_N$ electroweak
model with right-handed neutrinos. By introducing the $Z - Z'$ mixing angle
$\phi$, the {\it exact} physical eigenstates for neutral gauge bosons are
obtained. Because of the mixing, there is a modification to the $Z^1$ coupling
proportional to $\sin\phi$. The data from the $Z$-decay allows us to fix the
limit for $\phi$ as $-0.0021 \leq \phi \leq 0.000132$. >From the neutrino
neutral current scatterings, we estimate a bound for the new neutral gauge
boson $Z^2$ mass in the range 300 GeV, and from symmetry-breaking hierarchy a
bound for the new charged and neutral (non-Hermitian) gauge bosons $Y^{\pm},
X^o$ are obtained.
