For the curve defined by

$r(t)=($:$e^{-t}cos(t),e^{t}sin(t)$:$)$

Find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at $t=\frac{}{6}.$

Round your answer to $3$ decimal places and enter vectors in component form.

$T(\frac{}{6})$~~

$N(\frac{}{6})$~~

$a_T(\frac{}{6})$~~

$a_N(\frac{}{6})$~~