Chapter 13: Vector-Valued Functions and Motion in Space - Section 13.1 - Curves in Space and Their Tangents - Exercises 13.1 - Page 747: 34

$0$

Let us Consider, $c(t)=\lt c_1, c_2, c_3 \gt$ Here, $c_1, c_2, c_3$ refers to constants Since, $u=c $ and $\dfrac{d}{dt}(u)=\dfrac{d}{dt}c$ Thus, we have $u'=\lt \dfrac{d}{dt}(c_1), \dfrac{d}{dt}(c_2), \dfrac{d}{dt}(c_3) \gt$ so, $u'=\lt 0,0,0 \gt =0$