Get solution: 3134 TrueFalse Determine whether the statement is true orfalse. Explain

Chapter 12, Problem 33

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True-False Determine whether the statement is true or false. Explain your answer.

If $\mathbf{r}_{0}$ and $\mathbf{r}_{1}$ are vectors in 3-space, then the graph of the vector-valued function

$\mathbf{r}(t)=(1-t) \mathbf{r}_{0}+t \mathbf{r}_{1}(0 \leq t \leq 1)$

is the straight line segment joining the terminal points of $\mathbf{r}_{0}$ and $\mathbf{r}_{1}$

Equation Transcription:

𝐫0

𝐫1

𝐫 $(t)=(1-t)$ 𝐫0 $+t$ 𝐫1 $(0\leq{}t\leq{}1)$

𝐫0

𝐫1

Text Transcription:

r_0

r_1

r_(t)=(1-t)r_0+tr_1 (0 leq t leq 1)

r_0

r_1

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