Question

find the vector T at the given point
r(t) = ; point (1,2/3,1) I do not know how to count t at the point. Please, help

Answer 1

I don't understand the question. As far as I can see
if (1, 2/3, 1) is on r(t), then we can equate corresponding values
1 = t^2
2/3 = 2/3 t^3
1 = t

in each case, t=1 (which is good, otherwise it doesn't make sense)
but what is vector T ?

Answer 2

is vector T the tangent ?

Answer 3

if so, take the derivative wrt to t, and sub in 1 for t in the derivative.