Rotating a Vector: Proof

In this video I derive the formula for rotating a vector by any specific angle. In the derivation, I utilize the cosine and sine angle addition identities which I had proved in my earlier videos. The concept of rotating vectors is very important in mathematics and physics, so make sure you fully grasp it!

This video was taken from my earlier video listed below:

• Complex Numbers as Rotation Matrices: https://youtu.be/Mgp2vrQeLEw
• Video notes: https://peakd.com/hive-128780/@mes/complex-numbers-as-rotation-matrices
• Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E6x0dZEAx77Kqv7LLxYdbx

Related Videos:

Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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