Relation de Chasles

À l'aide de la relation de Chasles, simplifier les expressions vectorielles suivantes.

1. \(\overrightarrow{\text{AB}} + \overrightarrow{\text{BC}}\)
2. \(\overrightarrow{\text{PQ}} + \overrightarrow{\text{QR}} + \overrightarrow{\text{RS}}\)
3. \(\overrightarrow{\text{XY}} + \overrightarrow{\text{ZX}} + \overrightarrow{\text{YZ}}\)
4. \(\overrightarrow{\text{MN}} + \overrightarrow{\text{OM}}\)
5. \(\overrightarrow{\text{DE}} + \overrightarrow{\text{EF}} - \overrightarrow{\text{GF}}\)
6. \(\overrightarrow{\text{KN}} - \overrightarrow{\text{TP}} + \overrightarrow{\text{NP}}\)
7. \(\overrightarrow{\text{AB}} - \overrightarrow{\text{AC}}\)
8. \(\overrightarrow{\text{AB}} - \overrightarrow{\text{TB}} + \overrightarrow{\text{CD}} + \overrightarrow{\text{TA}}\)
9. \(-\overrightarrow{\text{TS}} + \overrightarrow{\text{SR}} + \overrightarrow{\text{TM}} + \overrightarrow{\text{QT}} - \overrightarrow{\text{QM}}\)
10. \(\overrightarrow{\text{PF}} -\overrightarrow{\text{EF}} + \overrightarrow{\text{RK}} - \overrightarrow{\text{RE}}\)