ABC is an equilateral triangle. Length of eac | vedclass

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Question

$\mathop {AB}\limits^ 	o  {\mkern 1mu}  + {\mkern 1mu} \mathop {BC}\limits^ 	o  {\mkern 1mu} {\mkern 1mu}  = {\mkern 1mu} {\mker

Vedclass · Accepted Answer

$2$

Vedclass · Answer

$\mathop {AB}\limits^ 	o  {\mkern 1mu}  + {\mkern 1mu} \mathop {BC}\limits^ 	o  {\mkern 1mu} {\mkern 1mu}  = {\mkern 1mu} {\mkern 1mu} \mathop {AC}\limits^ 	o  {\mkern 1mu} {\mkern 1mu} $

$ \Rightarrow {\mkern 1mu} |\mathop {AB}\limits^ 	o  {\mkern 1mu}  + {\mkern 1mu} \mathop {BC}\limits^ 	o  {\mkern 1mu} {\mkern 1mu}  + {\mkern 1mu} {\mkern 1mu} \mathop {AC}\limits^ 	o  |{\mkern 1mu} {\mkern 1mu}  = |2\mathop {AC}\limits^ 	o  {\mkern 1mu} |{\mkern 1mu} {\mkern 1mu}  = {\mkern 1mu} {\mkern 1mu} 2{\mkern 1mu} {\mkern 1mu} |\mathop {AC}\limits^ 	o  {\mkern 1mu} |{\mkern 1mu}  = {\mkern 1mu} {\mkern 1mu} 2a{\mkern 1mu} $

$	herefore {\mkern 1mu} {\mkern 1mu} n{\mkern 1mu} {\mkern 1mu}  = {\mkern 1mu} {\mkern 1mu} 2$

$ABC$ is an equilateral triangle. Length of each side is $a$ and centroid is point $O$. Find If $|\overrightarrow{A B}+\overrightarrow{B C}+\overrightarrow{A C}|=n a$ then $n =$ ?

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