Are loc proprietatea:
[tex]Daca~A,B,C~sunt~trei~puncte~in~plan~si~ M\in(BC),~astfel~incat\\
\frac{BM}{MC}=k,\ atunci:
\\\\
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\vec{AM}=\frac{\vec{AB}+k\vec{AC}}{k+1} \\
Inlcuim\ k\ cu\ \frac{1}{2}:\\
\vec{AM}=\frac{\vec{AB}+1/2\vec{AC}}{1/2+1}=\vec{AM}=\frac{2\vec{AB}+\vec{AC}}{3}=\frac{2}{3}\vec{AB}+\frac{1}{3}\vec{AC} [/tex]
Nota: Fii un pic atenta la calcule.
