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Dimensional analysis is the process of obtaining results by analysing the units and dimensions in questions, equations, and so on using The Principle of Homogeneity. Note: DO NOT USE THIS TAG if your question is about degrees of freedom or spatial dimensions.

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Dimensions of velocity vector in differential geometry

If we have a velocity vector written in, say, cartesian coordinates: $\mathbf V$ = $\dot{x}$ i $+$ $\dot{y}$ j Note that Dim($\dot{x}$) = Dim($\dot{y}$) = $LT^{-1}$ which are the dimensions of speed …
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