My teacher admitted that my book didn't explain how to do this well enough..I need help..Any ideas? Award At End. Given r(t), find the following: r(t) = Write a(t) in terms of its tangential and normal components.

Question

My teacher admitted that my book didn't explain how to do this well enough..I need help..Any ideas? Award At End. Given r(t), find the following: r(t) = < t^2, sin(t) - tcos(t), cos(t) + tsin(t) > Write a(t) in terms of its tangential and normal components.

dan815 · Answer

x=t^2, y=sint-tcost, z=cost + tsint

dan815 · Answer

a(t)= k N(t) + b (T(t))
lets assume a(T) can be written as a linear combination of these 2 vectors

dan815 · Answer

lets find the tangetial component that is not too hard

dan815 · Answer

wait!

dan815 · Answer

i gotta refresh its been a really long time ive derived these

dan815 · Answer

do you know how to find the unit tangent vetors first

anonymous · Answer

Isn't it                   v(t)
               T(t)  =                       
                               ||v(t)||?

anonymous · Answer

Wow I can not work the equation opetator. @dan815  xD

anonymous · Answer

Basically T(t) = v(t)/||v(t)||

anonymous · Answer

...help...