Write formulas for the unit normal and binormal vectors of

Michael Maggard 2022-01-07 Answered
Write formulas for the unit normal and binormal vectors of a smooth space curve r(t)

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sirpsta3u
Answered 2022-01-08 Author has 4830 answers
Write formulas for the unit normal and binormal vectors of a smooth space curve r(t)
The unit binomial vecto B(t) is a vector that is perpendicular to both T(t) and N(t).
$$\displaystyle{N}{\left({t}\right)}={\frac{{{T}'{\left({t}\right)}}}{{{\left|{\left|{T}'{\left({t}\right)}\right|}\right|}}}}$$
$$\displaystyle{B}{\left({t}\right)}={T}{\left({t}\right)}\times{N}{\left({t}\right)}$$

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