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heckald
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Homework Statement
Prove that the curve [tex]\vec{r}[/tex](t) = <cost,sint/sqrt(2), sint/sqrt(2)> is at the intersection of a sphere and two elliptic cylinders. Reparametrize the curve with respect to arc length measured from
(0, 1/sqrt(2), 1/sqrt(2)) in the direction of increasing t.
Homework Equations
The Attempt at a Solution
x=cost
y=sint/sqrt(2)
z=sint/sqrt(2)
x^2+y^2+z^2=1
cost^2+sint^2/2+sint^2/2=1
does that show it is in the sphere?
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