\[\boxed{\mathbf{679.}ОК\ ГДЗ\ –\ домашка\ на\ 5}\]
\[Формула:\]
\[\left( x - x_{0} \right)^{2} + \left( y - y_{0} \right)^{2} + \left( z - z_{0} \right)^{2} =\]
\[= R^{2}.\]
\[\textbf{а)}\ A( - 2;2;0);\ \ N(5;0; - 1):\]
\[(5 + 2)^{2} + (0 - 2)^{2} + ( - 1)^{2} =\]
\[= R^{2}\]
\[49 + 4 + 1 = R^{2}\]
\[R^{2} = 54.\]
\[Уравнение:\]
\[(x + 2)^{2} + (y - 2)^{2} + z^{2} = 54.\]
\[\textbf{б)}\ A( - 2;2;0);\ \ N(0;0;0):\]
\[(0 + 2)^{2} + (0 - 2)^{2} + 0^{2} = R^{2}\]
\[R^{2} = 8.\]
\[Уравнение:\]
\[(x + 2)^{2} + (y - 2)^{2} + z^{2} = 8.\]
\[\textbf{в)}\ A(0;0;0);\ \ N(5;3;1):\]
\[5^{2} + 3^{2} + 1^{2} = R^{2}\]
\[R^{2} = 35.\]
\[Уравнение:\]
\[x^{2} + y^{2} + z^{2} = 35.\]