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DIFFGEO · 1

Curves in the plane and in space

13 concepts · 27 questions

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DIFFGEOStep●○○○○new1 Curves in the plane and in space
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The problem

For the twisted cubic γ(t)=(t,t2,t3)\gamma(t) = (t, t^2, t^3): (a) compute γ′×γ′′\gamma'\times\gamma'' at t=1t = 1; (b) find κ(1)\kappa(1); (c) find τ(1)\tau(1); (d) explain why the curve is not planar.

Compute γ′×γ′′\gamma'\times\gamma'' at t=1t = 1.