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## Homework Statement

A point moves following (starting at λ = 0 and increasing):

x = 4·cn(λ)

y = 3·sn(λ)

z= am(λ)

Find the distance the point has traveled when the speed vector is parallel to (-4, 3, √2).

## Homework Equations

The elliptic functions are of the first kind with k

^{2}= 1/2.

## The Attempt at a Solution

I thought of the following:

**v**= d

**p**/dt = (-4·sn(λ)·dn(λ), 3·cn(λ)·dn(λ), dn(λ))·(dλ/dt) = c·(-4, 3, √2) (with c a constant real number)

But then I don't know what to do next...

Thank you so much for your help!