#### olgerm

Gold Member

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hi.

- if I know how to convert coordinates from a system to cartesian system, then how can I find basevectors of that coordinatesystem?
- Is it possible that basevectors are different in different points(with different coordinates)?
- What is most general definition of basevectors? I tought it would be ##\vec{e_i}(\vec{v})=\frac{\partial \vec{v}}{\partial x_i}##, because then basevector would show in which direction the point, that is described by coordinates moves when corresponding coordinate increases. ##\vec{e_i}(\vec{v})## is i'th basevector in point ##\vec{v}## and ##x_i## is i'th coordinate of ##\vec{v}##. I am not sure if this is correct definition.

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