- #1
Wildcat04
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Homework Statement
r(t) = costi + 2 sint j
Find the tangent vector r'(t) and the corresponding unit tangent vector u(t) at point P:(.5, 3.5,0)
Homework Equations
r'(t) = r(t)dt
u(t) = r'(t) / |r'(t)|
The Attempt at a Solution
r'(t) = -sinti + 2costj
|r'(t)| = [sin2t + 4cos2t].5
= [1-3cos2t].5
u(t) = {-sinti + 2costj} / {[1-3cos2t].5}
I think I am right so far, however I don't know what I am supposed to due with Point P to find the unit tangent vector at that point.
Thanks in advance for the help.