:PROPERTIES: :ID: 31ec01b7-1665-44e5-ba44-4957097fc880 :mtime: 20231010010400 :ctime: 20231010010258 :END: #+title: Orthonormal #+filetags: :public:project: * Definition [[id:5864974d-0edf-4757-9b1f-31b159c9aa7a][A set of Vectors]] are said to be orthonormal iff they are each orthogonal and they are all unit length. * Example The vectors $\{\hat{i}, \hat{j}, \hat{k}\}$ are orthonormal vectors.