Question

Find the unit tangent and normal vectors T(t) and N(t) for the curve r(t)=4sin(5t)i+5j+4cos(5t)k

Answer 1

i find it easier to put these in <...>

Answer 2

r'
---- = unit tangent vector
|r'|

Answer 3

and:

r''
--- = unit normal
|r''|

Answer 4

r = <4sin(5t), 5, 4cos(5t)>

r' = <4sin(5t)', 5', 4cos(5t)'>

r'' = <4sin(5t)'', 5'', 4cos(5t)''>

Answer 5

Okay I think I figured it out. Thanks.