Re: Calculus Problem
Bart Goddard wrote:
"Suppose the curve r(t) satisfies dr/dt = c x r, where c
is a constant vector. Use curvature and torsion to show that
the curve is the circle in which the plane through r(0) normal
to c intersects a sphere with radius |r(0)| centered at the
origin."
One approach is to reduce it to the case c=(c1,0,0) (by using a
rotation) and then just write it out coordinate-wise.
.
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