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## Main Question or Discussion Point

This is confusing me more than it should.

A curve in space is given by [itex]x^i(t)[/itex] and is parameterized by [itex]t[/itex].

What is the tangent vector along the curve at a point [itex] t= t_0 [/itex] on the curve?

A curve in space is given by [itex]x^i(t)[/itex] and is parameterized by [itex]t[/itex].

What is the tangent vector along the curve at a point [itex] t= t_0 [/itex] on the curve?