A vector space $V$ is spanned by a given set of vectors.
$V$= span of the set$\lbrace \left[\begin{array}{c}1\\1\\1\\\end{array}\right], \left[\begin{array}{c}-1\\-1\\-1\\\end{array}\right], \left[\begin{array}{c}1\\1\\1\\\end{array}\right] \rbrace$.
Find a basis for $V$ by deleting linearly dependent vectors.

The set $\lbrace$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$ $\rbrace$ is a basis for $V$.