Asked by jay
Find the Principal unit normal vector to the curve at the specified value of the parameter.
r(t)=ti+t^(2)j+lntk, t=1
r(t)=ti+t^(2)j+lntk, t=1
Answers
Answered by
Steve
r'(t) = i + 2t j + 1/t k
T(t) = r'/|r'| = (i+2tj+1/t k)/√(1+4t^2+1/t^2)
T(1) = (i+2j+k)/√6
the unit normal vector is
N(t) = T'/|T'|
T(t) = r'/|r'| = (i+2tj+1/t k)/√(1+4t^2+1/t^2)
T(1) = (i+2j+k)/√6
the unit normal vector is
N(t) = T'/|T'|
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.