Cho \(A\left( {1;1;2} \right),\,\,B\left( {2;0;3} \right),\,\,C\left( {4;1;5} \right)\). \(\left( P \right)\) vuông góc với \(BC\) để \(d\left( {A;\left( P \right)} \right) = 1\). Phương trình \(\left( P \right)\) là:
A.\(2x + y + 2z - 10 = 0\)
B.\(x + y + 2z \pm 3 = 0\)
C.\(2x + y + 2z - 4 = 0\)
D.\(\left[ \begin{array}{l}2x + y + 2z - 4 = 0\\2x + y + 2z - 10 = 0\end{array} \right.\)