1 votes 1 votes Let $S$ be a finite subset of $\mathbb{R}^{3}$ such that any three elements in $S$ span a two dimensional subspace. Then $S$ spans a two dimensional space. Linear Algebra tifrmaths2011 vector-space non-gate + – makhdoom ghaya asked Dec 10, 2015 makhdoom ghaya 430 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.