question_answer

If A, B and C are the vertices of \[\Delta ABC,\]what is the value of \[\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CA}?\]

Answer:

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