Hallo Niki,
\(\overrightarrow{AT}\) = x * \(\overrightarrow{AB}\)
\(\begin{pmatrix} 6 \\ 3 \end{pmatrix}\) = x * \(\begin{pmatrix} 14 \\ 7 \end{pmatrix}\) → x = 3/7
\(\overrightarrow{AT}\) = 3/7 * \(\overrightarrow{AB}\) → \(\overrightarrow{TB}\) = 4/7 * \(\overrightarrow{AB}\)
→ T teilt \(\overline{AB}\) im Verhältnis |\(\overline{AT}\)| : |\(\overline{TB}\)| = 3 : 4
Gruß Wolfgang