Expressing Vectors in Different Frames Using Rotation Matrices

In this video we develop notation to express a vector in different reference/coordinate frames. We then investigate how to use rotation matrices to translate from a vector expressed in one frame to this same vector expressed in another frame. Topics and time stamps: 0:43 – Introduction using drones 2:49 – Notation for expressing vectors in different frames 5:03 – Rotation matrices 27:32 – Inverse of a rotation matrix 30:57 – Eigenvalues of a rotation matrix 34:00 – Example Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... For more information see: -https://en.wikipedia.org/wiki/Rotatio... -Stevens, B. L. and Lewis, F. L., “Aircraft Control and Simulation, 2nd Edition”, John Wiley and Sons, 2003, pg. 25. All Flight Mechanics videos in a single playlist (   • Flight Mechanics  ) #FlightMechanics You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!