Determine whether the two paths r¡ (1) and F2 (1) collide or intersect. r, = (1, r, r') r2 = ( 21 The two paths do not collide collide and intersect.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Determine whether the two paths \( \mathbf{r}_1(t) \) and \( \mathbf{r}_2(t) \) collide or intersect.**

\[
\mathbf{r}_1 = \langle t, t^2, t^3 \rangle
\]

\[
\mathbf{r}_2 = \left\langle 2t - 20, \frac{1}{9}t^2, 64 \right\rangle
\]

The two paths
- ∘ do not collide
- ∘ collide

and

- ∘ intersect
- ∘ do not intersect
Transcribed Image Text:**Determine whether the two paths \( \mathbf{r}_1(t) \) and \( \mathbf{r}_2(t) \) collide or intersect.** \[ \mathbf{r}_1 = \langle t, t^2, t^3 \rangle \] \[ \mathbf{r}_2 = \left\langle 2t - 20, \frac{1}{9}t^2, 64 \right\rangle \] The two paths - ∘ do not collide - ∘ collide and - ∘ intersect - ∘ do not intersect
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