We present new measurements related to spin alignment of K* 0 vector mesons at mid-rapidity for Pb–Pb collisions at s NN= 2.76 and 5.02 TeV. The spin alignment measurements are carried out with respect to production plane and 2 nd order event plane. At low p T the spin density matrix element ρ 00 for K* 0 is found to have values slightly below 1/3, while it is consistent with 1/3, ie no spin alignment, at high p T. Similar values of ρ 00 are observed with respect to both production plane and event plane. Within statistical and systematic uncertainties, ρ 00 values are also found to be independent of s NN. ρ 00 also shows centrality dependence with maximum deviation from 1/3 for mid-central collisions with respect to both the kinematic planes. The measurements for K* 0 in pp collisions at s= 13 TeV and for K 0 S (a spin 0 hadron) in 20-40% central Pb–Pb collisions at s NN= 2.76 TeV are consistent with no spin alignment.