Let $A = \begin{bmatrix} -4 \\ 3 \\ -2 \end{bmatrix}$, $B = \begin{bmatrix} -40 \\ 26 \\ -32 \end{bmatrix}$, and $C = \begin{bmatrix} 8 \\ -5 \\ 7 \end{bmatrix}$.
1. Determine whether or not the three vectors listed above are linearly independent or linearly dependent.
2. If they are linearly dependent, find a non-trivial linear combination of A, B, C that adds up to $\vec{0}$. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients.
$xA + yB + zC = \vec{0}$