\[\boxed{\mathbf{965.ОК\ ГДЗ - домашка\ на}\ 5}\]
\[\mathbf{Уравнение\ окружности:}\]
\[\left( x - x_{0} \right)^{2} + \left( y - y_{0} \right)^{2} = r^{2};\]
\[x_{0} = y_{0} = 0.\]
\[\textbf{а)}\ r = 3:\ \ \ \]
\[\ x^{2} + y^{2} = 9.\]
\[\textbf{б)}\ r = \sqrt{2}:\ \ \ \ \]
\[x^{2} + y^{2} = 2.\]
\[\textbf{в)}\ r = \frac{5}{2}:\ \ \ \ \]
\[x^{2} + y^{2} = \frac{25}{4}.\]
\[\boxed{\mathbf{965.еуроки - ответы\ на\ пятёрку}}\]
\[\mathbf{Построим\ вектроры\ }\overrightarrow{p},\overrightarrow{q}.\]
\[1)\ \overrightarrow{m} = 2\overrightarrow{p} - \frac{1}{2}\overrightarrow{q};\]
\[2)\ \overrightarrow{n} = \overrightarrow{p} + 3\overrightarrow{q};\]
\[3)\ \overrightarrow{l} = - 2\overrightarrow{p} - \frac{1}{2}\overrightarrow{q};\]
\[4)\ \overrightarrow{s} = \frac{2}{3}\overrightarrow{q} - \overrightarrow{p}.\]