在空间直角坐标系\(O - xyz\)中，三张平面
\(\pi_{i}:a_{i}x + b_{i}y + c_{i}z = d_{i}(i = 1,2,3)\)的位置关系如图所示，
记\(\alpha_{i}=(a_{i},b_{i},c_{i})\)，\(\beta_{i}=(a_{i},b_{i},c_{i},d_{i})\)，若\(r\begin{pmatrix}\alpha_{1}\\\alpha_{2}\\\alpha_{3}\end{pmatrix}=m\)，\(r\begin{pmatrix}\beta_{1}\\\beta_{2}\\\beta_{3}\end{pmatrix}=n\)，则(  )
A. \(m = 1\)，\(n = 2\)
B. \(m = n = 2\)
C. \(m = 2\)，\(n = 3\)
D. \(m = n = 3\)