Contravariant and Covariant Vectors | 1/2
In this video, I describe the meaning of contravariant and covariant vector components. As mentioned in a previous video, tensors are invariant under coordinate transformations. However, tensor components transform according to specific rules; they may either transform in a contravariant manner (i.e. the opposite manner as the basis vectors) or in a covariant manner (i.e. the same manner as the basis vectors).
I discuss contravariant and covariant components and give some intuition of what they mean by using two examples. The next video will cover a more rigorous definition of contravariant and covariant vector components.
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Pre-reqs: The previous videos in the playlist - • Tensor Calculus
2nd video on Tensors: • Introduction to Tensors: Transformation Rules
Lecture Notes: https://drive.google.com/open?id=1CVY...
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