hình :
bài làm :
ta có : \(\overrightarrow{AM}+\overrightarrow{BN}+\overrightarrow{CP}\)
\(=\overrightarrow{AI}+\overrightarrow{IM}+\overrightarrow{BI}+\overrightarrow{IN}+\overrightarrow{CI}+\overrightarrow{IP}\)
\(=\left(\overrightarrow{AI}+\overrightarrow{IN}\right)+\left(\overrightarrow{BI}+\overrightarrow{IP}\right)+\left(\overrightarrow{CI}+\overrightarrow{IM}\right)\)
\(=\overrightarrow{AN}+\overrightarrow{BP}+\overrightarrow{CM}\) \(=\overrightarrow{AN}+\overrightarrow{CM}+\overrightarrow{BP}\)
\(=\overrightarrow{NC}+\overrightarrow{CM}+\overrightarrow{BP}=\overrightarrow{NM}+\overrightarrow{BP}=\overrightarrow{PB}+\overrightarrow{BP}=\overrightarrow{PP}=\overrightarrow{0}\left(đpcm\right)\)
