\[\boxed{\mathbf{651.}ОК\ ГДЗ\ –\ домашка\ на\ 5}\]
\[У\ коллениарных\ векторов\ \]
\[координаты\ \]
\[пропорциональны.\]
\[\textbf{а)}\ \overrightarrow{a}\left\{ 15;m;1 \right\};\ \ \overrightarrow{b}\left\{ 18;12;n \right\}:\]
\[\frac{15}{18} = \frac{m}{12} = \frac{1}{n} = \frac{5}{6};\]
\[m = \frac{12 \cdot 5}{6} = 10;\]
\[n = \frac{6}{5} = 1,2.\]
\[\textbf{б)}\ \overrightarrow{c}\left\{ m;0,4; - 1 \right\};\ \ \overrightarrow{d}\left\{ - \frac{1}{2};n;5 \right\}:\]
\[\frac{m}{- \frac{1}{2}} = \frac{0,4}{n} = \frac{- 1}{5};\]
\[n = \frac{0,4 \cdot 5}{- 1} = - 2;\]
\[m = \frac{- 1 \cdot \left( - \frac{1}{2} \right)}{5} = 0,1.\]