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 - [ Ссылка ]_
2nd video on Tensors: [ Ссылка ]
Lecture Notes: [ Ссылка ]
Patreon: [ Ссылка ]
Twitter: [ Ссылка ]

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