Let r be a differentiable vector function of t. Show that

Chapter 12, Problem 27E

(choose chapter or problem)

Let $r$ be a differentiable vector function of $t$. Show that if $r \cdot(d r / d t)=0$ for all $t$, then $|\mathrm{r}|$ is constant.

Equation Transcription:

$r$

$t$

$r\ \cdot{}(dr/dt)\ =\ 0$

$|r|$

Text Transcription:

r cdot (dr/dt) = 0

|r|

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