12th Class
Mathematics
Sample Paper
Mathematics Olympiad Sample Paper-2
question_answer
If \[\left| \overrightarrow{a} \right|\text{=}3,\left| \overrightarrow{b} \right|=1,\left| \overrightarrow{c} \right|=4\] and \[\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=0,\] then find the value of \[\overrightarrow{a\,.\,}\overrightarrow{b}+\overrightarrow{b}\,.\,\overrightarrow{c}+\overrightarrow{c\,}.\,\overrightarrow{a}.\]