:PROPERTIES: :ID: 572a3b68-2896-49a1-afd2-0c97d70f9d7b :mtime: 20231019010424 :ctime: 20231019010402 :END: #+title: units/dimension of vectors #+filetags: :public:project: * Units/dimension of vectors Assume $\vec{a}, \vec{b}, \vec{c}$ are [[id:5864974d-0edf-4757-9b1f-31b159c9aa7a][Vectors]] that have units of length. - [[id:546e7943-327d-41b8-8b35-37053964595b][unit vector]]/normalized vectors are unitless - $\vec{a} \cdot \vec{b}$ is a scalar with units of area - $\vec{a} \cdot (\vec{b} \times \vec{c})$ is a scalar with units of volume