Thread: unit tangent vector plz

hi every one i need help

Find the unit tangent vector at the indicated point of the vector
function

r

(t) = e^15t cost i+e^15t sint j+e^15t k

T(pi/2) =
i compute the r'(t) = (-e^15tsint+15e^15tcost)i+(e^15tcost+15e^15tsint)j+( 15te^15t)k

now i need the norm of r'(t) which i coudn't find

plz help ??!!

Originally Posted by falta

hi every one i need help

Find the unit tangent vector at the indicated point of the vector
function

r

(t) = e^15t cost i+e^15t sint j+e^15t k

T(pi/2) =
i compute the r'(t) = (-e^15tsint+15e^15tcost)i+(e^15tcost+15e^15tsint)j+( 15te^15t)k

now i need the norm of r'(t) which i coudn't find

plz help ??!!

Forgive me if i'm wrong but isn't the unit tangent vector, Then let

Originally Posted by falta

hi every one i need help

Find the unit tangent vector at the indicated point of the vector
function

r

(t) = e^15t cost i+e^15t sint j+e^15t k

T(pi/2) =
i compute the r'(t) = (-e^15tsint+15e^15tcost)i+(e^15tcost+15e^15tsint)j+( 15te^15t)k

now i need the norm of r'(t) which i coudn't find

plz help ??!!

At sin(t)= 1 and cos(t)= 0. that simplifies everything a lot!

For example, .

thankx .. i got the right answer