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!