?Given \(\mathbf{r}(t)=t \mathbf{i}+3 t \mathbf{j}+t^{2} \mathbf{k}\) and
Chapter 3, Problem 74(choose chapter or problem)
Given \(\mathbf{r}(t)=t \mathbf{i}+3 t \mathbf{j}+t^{2} \mathbf{k}\) and \(\mathbf{u}(t)=4 t \mathbf{i}+t^{2} \mathbf{j}+t^{3} \mathbf{k}\), find \(\frac{d}{d t}(\mathbf{r}(t) \times \mathbf{u}(t))\).
Text Transcription:
r(t) = t i + 3t j + t^2 k
u(t) = 4t i + t^2 j + t^3 k
d/dt (r(t) times u(t))
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