Suman Cole
2021-09-30
Answered

Starting from the point $(3,-2,-1)$ , reparametrize the curve $x\left(t\right)=(3-3t,-2-t,-1-t)$ in terms of arclength.

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Asma Vang

Answered 2021-10-01
Author has **93** answers

Step 1

First of all, the derivative of x is

Its norm is

Now we find

where

which yields

Therefore,

Therelore, we set

This means that the reparametrization of x in terms of arclength is

To write it clearly,

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