Quantum vortices in the multi-component Bose-Einstein condensation (BEC) ar
e investigated theoretically. It is found that three kinds of the vortex co
nfigurations are possible and their physical properties are discussed in de
tails, including the density distribution and the spin texture. By using th
e Bogoliubov theory extended to the three component BEG, the collective mod
es for these vortices are evaluated. The local vortex stability for these v
ortices are examined in light of the existence of the negative eigenvalue,
yielding a narrow magnetization window for the local intrinsic stable regio
n where the multi-components work together to stabilize a vortex in a self-
organized way.