Question

concept understanding: r'(t) is the tangent vector of a space curve, and the T vector is just a normalized vector of that with length 1?

Answer 1

r(t) is vector function
Tangent vector T(t) = r'(t)
and unit tangent vector = r'(t) /|r'(t)|

Answer 2

and we use unit tangent vector to indicate to tangent vector at the point

Answer 3

can we use just the Tangent vector r'(t) to write a plane equation?

Answer 4

post the whole problem, I am not sure I can help or not, but if i can, I will

Answer 5

ok thanks!

Answer 6

new post, please