Math Help - Vector Calculus

I am doing a TNB-Frame problem and I am currently finding the tangent. The point I am trying to find it at is t=0 and my vector T(t) comes out to be in indeterminate form. So my question is how would I solve for vector T(t).

Originally Posted by Sgraveyard

I am doing a TNB-Frame problem and I am currently finding the tangent. The point I am trying to find it at is t=0 and my vector T(t) comes out to be in indeterminate form. So my question is how would I solve for vector T(t).

People will be able to help easier if you post your question, and the work you have done so far.

Vector T(t) = <tcos(t), tsin(t),0>/sqrt(t^2*cos^2(t)+t^2*sin^2(t))

At t=0

R(t) was originally <cos(t)+t*sin(t),sin(t)-t*cos(t),1>

Originally Posted by Sgraveyard

Vector T(t) = <tcos(t), tsin(t),0>/sqrt(t^2*cos^2(t)+t^2*sin^2(t))

At t=0

You need to wrap your latex in MATH codes.

Is your vector , not sure what the is?

Originally Posted by craig

You need to wrap your latex in MATH codes.

Is your vector , not sure what the is?

Sorry about that.

is the magnitude of R'(t). Since

So is it the vector that you want to differentiate?

Originally Posted by craig

So is it the vector that you want to differentiate?

Nah. I differentiated into

My goal is to find vector T(t) which is

When you do that though you are in indeterminate form. So my question is how would I solve it properly?

Originally Posted by Sgraveyard

Nah. I differentiated into

My goal is to find vector T(t) which is

When you do that though you are in indeterminate form. So my question is how would I solve it properly?

Ahh i do apologise. Do they not give you any limits for the value of or in the question then?

Originally Posted by craig

Ahh i do apologise. Do they not give you any limits for the value of or in the question then?

No problem. Nope, they just say determine TNB-Frame at the point (1,0,1) which is t=0