  We present new measurements related to spin alignment of $\mathrm{K^{*0}}$
vector mesons at mid-rapidity for Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$
= 2.76 and 5.02 TeV. The spin alignment measurements are carried out with
respect to production plane and second order event plane. At low
$p_{\mathrm{T}}$ the spin density matrix element $\rho_{00}$ for
$\mathrm{K^{*0}}$ is found to have values slightly below 1/3, while it is
consistent with 1/3, i.e. no spin alignment, at high $p_{\mathrm{T}}$. Similar
values of $\rho_{00}$ are observed w.r.t. both production plane and event
plane. Within statistical and systematic uncertainties, $\rho_{00}$ values are
also found to be independent of $\sqrt{s_{\mathrm{NN}}}$. $\rho_{00}$ also
shows centrality dependence with maximum deviation from 1/3 for mid-central
collisions w.r.t. both the kinematic planes. The measurements for
$\mathrm{K^{*0}}$ in pp collisions at $\sqrt{s}$ = 13 TeV and for
$\mathrm{K^{0}_{S}}$ (a spin 0 hadron) in 20-40% central Pb-Pb collisions at
$\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV are consistent with no spin alignment.
