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).

\(\displaystyle{N}{\left({t}\right)}={\frac{{{T}'{\left({t}\right)}}}{{{\left|{\left|{T}'{\left({t}\right)}\right|}\right|}}}}\)

\(\displaystyle{B}{\left({t}\right)}={T}{\left({t}\right)}\times{N}{\left({t}\right)}\)

The unit binomial vecto B(t) is a vector that is perpendicular to both T(t) and N(t).

\(\displaystyle{N}{\left({t}\right)}={\frac{{{T}'{\left({t}\right)}}}{{{\left|{\left|{T}'{\left({t}\right)}\right|}\right|}}}}\)

\(\displaystyle{B}{\left({t}\right)}={T}{\left({t}\right)}\times{N}{\left({t}\right)}\)