> [!summary] The zero vector is a vector where each component is of magnitude 0 > **Key Equations:** > Zero vector: $\vec{0}=\begin{bmatrix}0 \\\vdots \\0\end{bmatrix} \quad | \mathbb{R}^n$ >[!info]+ Read Time **⏱ 1 min** # Definition The zero vector is a vector whose components have a magnitude of 0. Physically, the zero vector is a vector at the origin. Mathematically, the zero vector is described as having the magnitude of 0 for each component in $\mathbb{R}^n$ $ \vec{0}=\begin{bmatrix} 0 \\ \vdots \\ 0 \end{bmatrix} \quad | \mathbb{R}^n $ # Resources <iframe width="560" height="315" src="https://www.youtube.com/embed/Rdfu3wcpeAU?si=uvY6OZ-TcZOvtNfX" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe> --- > 📚 Like this note? [Star the GitHub repo](https://github.com/rajeevphysics/Obsidian-MathMatter) to support the project and help others discover it! ---