Introducing Dual Vectors: Intuition and Definition
The foil to regular vectors in Tensor Analysis: dual vectors (a.k.a. covectors, one-forms) are best thought of as functions that operate on regular vectors. This video defines dual vectors (starting with the more general abstract definition followed by the tensor algebra definition) and then gives some intuition behind what dual vectors represent.
Questions/requests? Let me know in the comments!
Pre-reqs: Previous videos in this playlist - • Tensor Calculus
Lecture Notes: https://drive.google.com/file/d/1Y-2h...
Special thanks to my Patrons:
Matthew
Patapom
Eugene Bulkin
Andy Johnston
Lina Stritt
Patrick Gibson
Joseph Dubeau