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Is any covariant vector orthogonal to absolute derivative of its contravariant counterpart?

I read a GR book, and it says the tangent vector of a curve is orthogonal to its absolute derivative, that is ##D\lambda^A/dst_A=0##, where ##t^A## is the unit tangent vector of some curve ##\gamma##.

Any comments would be appreciated.

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# Orthogonality of Absolute Derivative

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