Find parametric equations for the tangent line to r(t) = at the point (1,0, 0).

Question

Find parametric equations for the tangent line to 
r(t) =< t^2-  t + 1, t , sin(t) >
 at the point (1,0, 0).

anonymous · Answer

found the derivative of r(t) to be
r'(t) <2t-1,1,cos(t)>
but not sure what to do with that. And he point (1,0,0) occurs at t=0
help please? :]

klimenkov · Answer

Put $t=0$ into the expression for $r'(t)$ and you will get a tangent vector in your point. Hope you can write an equation of the line if you know its directing vector and the point throught it.

anonymous · Answer

Ahh that makes a lot of sense! Thank you~

klimenkov · Answer

Can you write an answer here?