Orthonormal basis vectors

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This video looks at the process by which an orthonormal basis is created using the basis vectors derived from the tangent space of a manifold.
  1. Tensor Calculus - Robert Davie
  2. Magnitude
  3. Kronecker
  4. Normal
  5. Reciprocal
  6. Curved
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Комментарии
Автор

Thank for your great video
There is one question i get stuck:
why the co variant basis are orthogonal in this video or the previous video
it doesnt need to be true in linear algrebra?
thank

garytzehaylau
Автор

Why do we use two different basis.. (Contra and covector) .... I know they behave in different ways... But i wanna know the difference in application of both of these.

sarthaktiwari
Автор

Gradient vector is a covector right????.... While the normal on the curves are taken to be contravariant basis vector ... Why is that????

sarthaktiwari