IMathAS-libretexts

Find

\displaystyle \vec{{T}}

\displaystyle \vec{{N}}

and

\displaystyle \vec{{B}}

for the curve

\displaystyle \vec{{r}}{\left({t}\right)}={\left\langle{5}{\cos{{\left({4}{t}\right)}}},{5}{\sin{{\left({4}{t}\right)}}},{3}{t}\right\rangle}

at the point

\displaystyle {t}={0}

Give your answers to two decimal places

\displaystyle \vec{{T}}{\left({0}\right)}

\displaystyle \vec{{N}}{\left({0}\right)}

\displaystyle \vec{{B}}{\left({0}\right)}