Question

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

Answer 1

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? :]

Answer 2

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.

Answer 3

Ahh that makes a lot of sense! Thank you~

Answer 4

Can you write an answer here?