okay so that proves it is within a sphere.
since z is equal to y would saying
cos2t+sin2t/√2=1 show that it is in a cylinder?
with a plane its a bit easier because z can be expressed with x and y. but spheres and cylinders are confusing.
Homework Statement
Prove that the curve \vec{r}(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...