# Math Help - Tangential and normal components

1. ## Tangential and normal components

If $r(t) = $, find the tangential and normal components of the acceleration vector.

2. This is what I have so far

$a(t) = r"(t) = <2, 0, e^t>$

$T = r'(t)/||r'|| = <2t,3,e^t>/(4t^2 + 9 + e^t^2) = ?$

Am I on the right track? My algebra is a rusty. Can I do anything with T.

3. There was an error let me try this again.

$
T = r'(t)/||r'|| = <2t,3,e^t>/(4t^2 + 9 + (e^t)^2)^(1/2)
$

So am I on the right track? How can i reduce T? The next step is to find N then do a dot T and a dot N correct?

4. Anyone out there that can help please!