Find T, N, and B for the curve at the indicated point. [HINT: After finding T', plug in the specific value for t before computing N and B.] r(t) = t, t, et at (0, 0, 1)

Step-by-step explanation:

Given that

To find tangent, normal and binormal vectors at (0,0,1)

i) Tangent vector

At the particular point, r'(t) = (1,1,e)

Tangent vector =

ii) Normal vector

T'(t) =

At that point T'(t) = (0,0,e)/e = (0,0,1)

iii) Binormal

B(t) = TX N

=

4

step-by-step explanation: