> [!NOTE] Theorem > Let $n\geq 1.$ Let $\mathbb{R}^{n}$ denote the [[Real n-Space|real n-space]]. Let $\lambda,\mu\in\mathbb{R}$. Then $\lambda(\mu \underline{v})=(\lambda \mu)\underline{v}$where $\lambda \underline{v}$ denotes a [[Scalar Multiplication in Real n-Space|scalar multiple]] of $\underline{v}.$ **Proof**: Follows directly from [[Associativity of Multiplication of Real Numbers]].