\(\eqalign{& \,\,\,\,\overrightarrow {DA} + \overrightarrow {DB} + \overrightarrow {DC} \cr & = \overrightarrow {DG} + \overrightarrow {GA} + \overrightarrow {DG} + \overrightarrow {GB} + \overrightarrow {DG} + \overrightarrow {GC} \cr & = 3\overrightarrow {DG} + \underbrace {\left( {\overrightarrow {GA} + \overrightarrow {GB} + \overrightarrow {GC} } \right)}_{\overrightarrow 0 } \cr & = 3\overrightarrow {DG} \cr} \)