Question

compute the unit tangent, unit normal and unit binormal vectors for the curve <4 cost t, 3t, sin t> when t = pi/4

Answer 1

for the vector: v

tangent = v'

normal = v''

and unit is just dividing off the length to get it to 1

Answer 2

the binormal is: v' x v''

Answer 3

v = <4 cos t, 3t, sin t>

v' = <-4 sint t, 3, cos t>

v'' = <-4 cos t, 0, -sin t>