(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the unit tangent vector T(t) to the curve r(t) at the point with the given value of the parameter, t.

r(t)=<e^(2t), t^(-2), 1/(3t)>

t=1

2. Relevant equations

none

3. The attempt at a solution

So first I took the derevative to get r'(t) which I got to be <2*e^(2x), -2t^(-3), -3t^(-2)> and plugged in the paramter, 1, so I got <2(e^2), -2,-3> and then I think I should divide that by its own magnitude, which I got to be the square root of (4(e^4) + 13)

Buttt that's not working and Im not sure which part I went wrong on

help?

THANKS

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# Unit tangent vector to a curve at a point

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