Find T, N, and \kappa for the space curve, where $t > 0$.
$r(t) = (8 \cos t + 8t \sin t)i + (8 \sin t - 8t \cos t)j + 2k$
$T = (\cos t)i + (\sin t)j + (0)k$
(Type exact answers, using radicals as needed.)
$N = (-\sin t)i + (\cos t)j + (0)k$
(Type exact answers, using radicals as needed.)
$\kappa = \frac{1}{64t^2}$
(Type an exact answer, using radicals as needed.)
