Answer
No.
Work Step by Step
We know that the determinant of a matrix \[
\left[\begin{array}{rr}
a & b \\
c &d \\
\end{array} \right]
\]
is $D=ad-bc$.
We know that if we choose $2$ of these vectors and the determinant of the matrix formed by the vectors is not $0$, then they span the plane. $D=2\cdot0-5\cdot0=0-0=0$, thus they don't span the plane.