Vector problem (in French)

[signal geyser]

,tex We consider $\triangle$ABC and the points K, L, and M defined by $\overrightarrow{AK}= -\frac{3}{2} \overrightarrow{AC}$, $\overrightarrow{AL} = \frac{3}{4} \overrightarrow{AB}$, and $\overrightarrow{BM} = \frac{1}{6} \overrightarrow{BC}$. $$\text{We are going to determine the to ways that }K \text{, }L \text{, and }M\text{are aligned.}$$

[solid elm]

@signal geyser

[signal geyser]

,tex We consider $\triangle$ABC and the points K, L, and M defined by $\overrightarrow{AK}= -\frac{3}{2} \overrightarrow{AC}$, $\overrightarrow{AL} = \frac{3}{4} \overrightarrow{AB}$, and $\overrightarrow{BM} = \frac{1}{6} \overrightarrow{BC}$. $$\text{We are going to determine the to ways that }K \text{, }L \text{, and }M\text{are aligned.}$$