We propose the concept of vector cavity optomechanics in which the polarization behavior of light fields is introduced to achieve optomechanical control. The steady states and optomechanically induced transparency are studied in the vector regime, and we show that the polarization of optical fields may be a powerful tool to identify the underlying physical process and control the signal of optomechanically induced transparency. In particular, the conditions for obtaining a linearly polarized output probe field is given, which reveal some nontrivial polarizing effects. Despite its conceptual simplicity, vector cavity optomechanics may entail a wide range of intriguing phenomena and uncover a novel understanding for optomechanical interaction.
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