Pembagian Ruas

\begin{equation*}
\begin{split}
\frac{\overrightarrow{AQ}}{\overrightarrow{QB}} & =\frac{4}{1} \\\\
\frac{\overrightarrow{q}-\overrightarrow{a}}{\overrightarrow{b}-\overrightarrow{q}} & =\frac{4}{1} \\\\
\overrightarrow{q}-\overrightarrow{a} & = 4 \: \overrightarrow{b} - 4 \: \overrightarrow{q} \\\\
5 \: \overrightarrow{q} & = \overrightarrow{a} + 4 \: \overrightarrow{b} \\\\
\overrightarrow{q} & = \frac {\overrightarrow{a} + 4 \: \overrightarrow{b}}{5} \\\\
\overrightarrow{q} & = \frac {(2,2,2) + 4 \:.\: (5,-1,11)}{5} \\\\
\overrightarrow{q} & = \frac {(2,2,2) + (20,-4,44)}{5} \\\\
\overrightarrow{q} & = \frac {(22,-2,46)}{5} \\\\
\overrightarrow{q} & = \left(\frac {22}{5}, -\frac {2}{5}, \frac {13}{5}\right)
\end{split}
\end{equation*}