> [!Definition] > Two [[Vectors|vectors]] $\underline{v}$ and $\underline{w} \in \mathbb{F}^{n}$ are *collinear* if WLOG $\underline{v} = \lambda \underline{w}$ for some $\lambda \in \mathbb{R}$. Note: it makes more sense to say u and v are parallel since vectors are free to move in space. # Properties Two vectors $\underline{v}$ and $\underline{w} \in \mathbb{R}^{n}$ are [[Linear Independence|linearly dependent]] iff they're collinear.