Given that limtSa r1(t) i 2 j k and limtSa r2(t) 2 i 5 j 7 k, find: (a) lim tSa [4r1(t)
Chapter 9, Problem 16(choose chapter or problem)
Given that \(\lim _{t \rightarrow a} \mathbf{r}_{1}(t)=\mathbf{i}-2 \mathbf{j}+\mathbf{k} \text { and } \lim _{t \rightarrow a} \mathbf{r}_{2}(t)=2 \mathbf{i}+5 \mathbf{j}+7 \mathbf{k}\), find:
(a) \(\lim _{t \rightarrow a}\left[-4 \mathbf{r}_{1}(t)+3 \mathbf{r}_{2}(t)\right]\)
(b) \(\lim _{t \rightarrow a} \mathbf{r}_{1}(t) \cdot \mathbf{r}_{2}(t)\).
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