Let r(t) = costi + sin tj + k. Find(a) limt 0(r(t) r(t)) (b) limt 0(r(t) r(t))(c) limt

Chapter 12, Problem 27

(choose chapter or problem)

Let $\mathbf{r}(t)=\cos t \mathbf{i}+\sin t \mathbf{j}+\mathbf{k}$. Find

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

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

Equation Transcription:

𝐫 $(t)=cos\ t$ 𝐢 $+sin\ t$ 𝐣 $+$ 𝐤

$\lim\limits_{{t} \rightarrow {0}}$ $($ 𝐫 $(t)-$ 𝐫’ $(t))$

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

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

Text Transcription:

r (t)=cos ti+sin tj+k

lim over t rightarrow 0 (r(t)-r’(t))

lim over t rightarrow 0 (r(t)xr’(t))

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

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