Let r(t) = ti + t 2 j + t 3k. Findlimt 1r(t) (r(t) r(t))

Chapter 12, Problem 28

(choose chapter or problem)

Let $\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+t^{3} \mathbf{k}$. Find

$\lim _{t \rightarrow 0} \mathbf{r}(t) \cdot\left(\mathbf{r}^{\prime}(t) \times \mathbf{r}^{\prime \prime}(t)\right)$

Equation Transcription:

𝐫 $(t)=t$ 𝐢 $+{t}^{2}$ 𝐣 $+{t}^{3}$ 𝐤

$\lim\limits_{{t} \rightarrow {0}}$ 𝐫 $(t)\bullet{}$ $($ 𝐫’ $(t)\ x$ 𝐫” $(t))$

Text Transcription:

r(t)=ti+t^2j+t^3k

lim over t rightarrow 0 r(t) cdot (r’(t)xr”(t))

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