A [[Set|set]] of [[Vector|vectors]] can each be independently [[scalar multiplication|scaled]] and the results [[vector addition|added]], and the final result would be a **linear combination** Vectors $\mathbf{v}$ and $\mathbf{w}$, with scalars $c$ and $d$ respectively, would have the linear combinations $c\mathbf{v}+d\mathbf{w}$ Linear combinations can be used to decompose vectors into a basis.