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(Solved): The curvature \kappa of a curve r(t) at t is given by \kappa =|(dT)/(ds)| where T is the unit tan ...



The curvature

\kappa

of a curve

r(t)

at

t

is given by

\kappa =|(dT)/(ds)|

where

T

is the unit tangent vector and

s

is the arclength parameter. Taking

N

to be the unit normal to the curve, derive the following equation

(dT)/(ds)=\kappa N

can you also explain how to get the final answer or what does it look like



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