The unit normal vector(adsbygoogle = window.adsbygoogle || []).push({}); Nof a given curve is equal to the first derivative with respect to t of the unit tangent vectorT'(t)divided by the norm ofT'(t) (For a parametric vector equation of parameter t.)

I realize this works becauseT(t) is orthogonal toT'(t), but I don't understand why the derivative of the vector T is orthogonal to T itself.

Can anyone explain to me why the derivative of a tangent vector is orthogonal to the tangent vector? Thanks.

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# Trouble understanding method to compute unit normal vector for a parametric curve

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