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## Homework Statement

given r(t) = <t, 1/t,0> find T(t) N(t) a

_{T}and a

_{N}at t = 1

## Homework Equations

T(t) = r'/||r'||

N(t) = T'/||T'||

a

_{T}= a . T = (v . a)/||T||

a

_{N}= a . N = ||v x a||/||v|| = sqrt(||a||

^{2}- a

_{T}

^{2})

## The Attempt at a Solution

for my T(t) I get <t

^{2}, -1 , 0>/(sqrt(1+t

^{4}) (I like keeping things in 3 dimensions even if there is no contribution in the z direction)

and I am not calculating the normal vector if there isn't some algebra I can use to simplify this greatly , which I am not seeing, t

^{4}+ 1 I don't believe I can factor and I can't think of any other way to simplify this one so I'm just moving around through the problem set looking for some r(t) = <cost, sint, t> type of vector that I can simply differentiate and use identities with, desperately trying to avoid those other problems

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