Asked by Marie
                Let c be a curve w/parameterization r(t). show that the line integral of T dr equals the length of the curve where T is the unit tangent.
            
            
        Answers
                    Answered by
            collins
            
    am not even conversant with those .....i don,t know
    
                    Answered by
            Steve
            
    Hmmm. Let me dig out my text on differential geometry. Meantime, try googling the topic in vector analysis.
    
                    Answered by
            Steve
            
    Actually, just consider the definition of T.
Take a peek here, and it should be clear, since the arc length is just
∫ ds = ∫ |dr/dt| dt
    
Take a peek here, and it should be clear, since the arc length is just
∫ ds = ∫ |dr/dt| dt
                    Answered by
            Steve
            
    oops: here is
http://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/arc/arc.html#alfunction
    
http://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/arc/arc.html#alfunction
                    Answered by
            collins
            
    hmmm i got to write these down wow
    
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