设 $\alpha_1=\left(\begin{array}{l}0 \\ 0 \\ c_1\end{array}\right), \alpha_2=\left(\begin{array}{l}0 \\ 1 \\ c_2\end{array}\right), \alpha_3=\left(\begin{array}{c}1 \\ -1 \\ c_3\end{array}\right), \alpha_4=\left(\begin{array}{c}-1 \\ 1 \\ c_4\end{array}\right)$, 其中 $c_1, c_2, c_3, c_4$ 为任意常数，则下列向量组线性相关的是
$\text{A.}$ $\alpha_1, \alpha_2, \alpha_3$
$\text{B.}$ $\alpha_1, \alpha_2, \alpha_4$
$\text{C.}$ $\alpha_1, \alpha_3, \alpha_4$
$\text{D.}$ $\alpha_2, \alpha_3, \alpha_4$