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

Find a tangent vectorrthat satisfiesr(0)= (e^(1),0) givenT(t) = (-e^(cos(t)sin(t)),cos(t)), where t is an element of [0,2π]

2. Relevant equations

Tangent vectorT=r'(t)/(norm(r'(t))

3. The attempt at a solution

I was thinking thatr(t) = ∫r'(t), and that the norm ofr(t) = 1; but i am having a hard time identifying a function compatible with the tangent vector that also has a norm of 1. I also attempted to find a value for t that would force the exponential aspect of -e (cos(t)sin(t)) to equal 1, while also allowing cos(t) = 0, but this did not work. Now i'm stuck second guessing myself.

1. The problem statement, all variables and given/known data

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# Finding a vector given a tangent vector

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