Let ${\bf u} = \left[{\begin{matrix}2 \cr 3 \cr 4 \cr \end{matrix}}\right]$, ${\bf v} = \left[{\begin{matrix}4 \cr 9 \cr 10 \cr \end{matrix}}\right]$, and ${\bf w} = \left[{\begin{matrix}2 \cr 18 \cr 16 \cr \end{matrix}}\right]$.

We want to determine if one of $\lbrace{{\bf u}, {\bf v}, {\bf w}}\rbrace$ is in the span of the others.
To do that we write the vectors as columns of a matrix $A$ and row reduce that matrix.

To check this we add times the first row to the second.
We then add times the first row to the third.
We then add times the new second row to the new third row.
We conclude that

A. None of the vectors $\lbrace{{\bf u}, {\bf v}, {\bf w}}\rbrace$ is in the span of the others.
B. One of the vectors $\lbrace{{\bf u}, {\bf v}, {\bf w}}\rbrace$ is in the span of the others.
C. We cannot tell if one of the vectors $\lbrace{{\bf u}, {\bf v}, {\bf w}}\rbrace$ is in the span of the others.