In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another. Topics and Timestamps: 0:00 – Introduction and example 2:34 – The Euler Rotation Sequence 16:10 – Matlab animation showing rotation sequence 21:03 – The direction cosine matrix (DCM) 40:23 – Show that the (DCM) is unitary 49:57 – Rotating about a single axis of rotation Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/main/FlightMech07 All Flight Mechanics videos in a single playlist (https://www.youtube.com/playlist?list=PLxdnSsBqCrrEx3A6W94sQGClk6Q4YCg-h) #FlightMechanics You can support this channel via Patreon at https://www.patreon.com/christopherwlum or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!