Answer:
\[\because \]A, B and C are the vertices of a\[\Delta \,ABC\]. By using law of vector addition, we get \[\overrightarrow{AB}+\overrightarrow{BC}=\overrightarrow{AC}\] \[\Rightarrow \] \[\overrightarrow{AB}+\overrightarrow{BC}=-\,\overrightarrow{\,CA}\] \[\Rightarrow \] \[\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CA}=\overrightarrow{0}\]
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