[填空题]
The following diagram shows the tiy1x fh7l)(vii+ +m piriangle Atv00pd7.j7v/q evm3e sza b f4BC.
$\text { Given that } \overrightarrow{\mathrm{BA}} \cdot \overrightarrow{\mathrm{BC}}=-6 \text { and }|\overrightarrow{\mathrm{BA}}||\overrightarrow{\mathrm{BC}}|=12 \text {, find the area of triangle } \mathrm{ABC} \text {. }$