The set does not span all of \(\mathbb{R}^{ 3 }\).

Vectors:
\[
\begin{bmatrix} 
 6  \\ 
 7  \\ 
 5
\end{bmatrix} \quad \begin{bmatrix} 
 0  \\ 
 0  \\ 
 0
\end{bmatrix} \quad \begin{bmatrix} 
 1  \\ 
 7  \\ 
 -1
\end{bmatrix} \quad \begin{bmatrix} 
 5  \\ 
 35  \\ 
 -5
\end{bmatrix} \quad 
\]
        

The set does not span all of \(\mathbb{R}^{ 3 }\).