  The longitudinal polarization of hyperons in $e^+e^-$ annihilation at high
energies depends on the longitudinal polarization of the quark produced at the
$e^+e^-$ annihilation vertex whereas the spin alignment of vector mesons is
independent of it. They exhibit very different energy dependences. We use the
longitudinal polarization of Lambda hyperon and the spin alignment of $K^*$ as
examples and present numerical results of energy dependences. We present the
results at the leading twist with perturbative QCD evolutions of fragmentation
functions at the leading order.
