Which of the following statements are true? (a) If r → 1 ( t ) and r → 2 ( t ) intersect, then they collide. (b) If r → 1 ( t ) and r → 2 ( t ) collide then they intersect. (c) Intersection depends only on the underlying curves traced by r → 1 and r → 2 but collision depends on the actual parameterizations.

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Answer 1

Question

Chapter 13.1, Problem 36E

To determine

Which of the following statements are true?

(a) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ intersect, then they collide.

(b) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ collide then they intersect.

(c) Intersection depends only on the underlying curves traced by ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ but collision depends on the actual parameterizations.

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Answer 2

Question

Chapter 13.1, Problem 36E

To determine

Which of the following statements are true?

(a) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ intersect, then they collide.

(b) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ collide then they intersect.

(c) Intersection depends only on the underlying curves traced by ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ but collision depends on the actual parameterizations.

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Answer 3

Question

Chapter 13.1, Problem 36E

To determine

Which of the following statements are true?

(a) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ intersect, then they collide.

(b) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ collide then they intersect.

(c) Intersection depends only on the underlying curves traced by ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ but collision depends on the actual parameterizations.

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Answer 4

Question

Chapter 13.1, Problem 36E

To determine

Which of the following statements are true?

(a) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ intersect, then they collide.

(b) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ collide then they intersect.

(c) Intersection depends only on the underlying curves traced by ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ but collision depends on the actual parameterizations.

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Answer 5

Chapter 13.1, Problem 36E

To determine

Which of the following statements are true?

(a) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ intersect, then they collide.

(b) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ collide then they intersect.

(c) Intersection depends only on the underlying curves traced by ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ but collision depends on the actual parameterizations.

Answer 6

Chapter 13.1, Problem 36E

To determine

Which of the following statements are true?

(a) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ intersect, then they collide.

(b) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ collide then they intersect.

(c) Intersection depends only on the underlying curves traced by ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ but collision depends on the actual parameterizations.

Answer 7

Chapter 13.1, Problem 36E

To determine

Which of the following statements are true?

(a) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ intersect, then they collide.

(b) If ${\vec{r}}_{1} (t) and {\vec{r}}_{2} (t)$ collide then they intersect.

(c) Intersection depends only on the underlying curves traced by ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ but collision depends on the actual parameterizations.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

Which of the following statements are true? (a) If r→1(t) and r→2(t) intersect, then they collide. (b) If r→1(t) and r→2(t) collide then they intersect. (c) Intersection depends only on the underlying curves traced by r→1 and r→2 but collision depends on the actual parameterizations.

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Chapter 13 Solutions