- #1

hoopsmax25

- 13

- 0

## Homework Statement

Let c(t) be a path of class C1. Suppose that ||c(t)||>0 for all t.

Show that c(t) dot product with d/dt((c(t))/||c(t)||) =0 for every t.

## Homework Equations

I am having trouble with the derivative of (c(t)/||c(t)||) and how to show that when its dotted with c(t) that it always equals zero.

## The Attempt at a Solution

I know that c(t) dotted with c'(t) =0 when ||c(t)||= a constant but don't know how to implement this fact for this problem.