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The question asks which of the following alternatives correctly describes the possible relative positions between two lines \( r \) and \( s \) in \( \mathbb{R}^3 \) (three-dimensional space).

### Breakdown of each option:

1. **As retas podem ser coincidentes ou ortogonais.**
   - Coincident lines overlap entirely. Orthogonal lines intersect at a right angle. In \( \mathbb{R}^3 \), lines can be orthogonal, but this does not encompass all possible relationships (e.g., skew lines), so this option is **not entirely correct**.

2. **As retas podem ser perpendiculares ou coincidentes.**
   - Perpendicular (orthogonal) lines intersect at right angles, and coincident lines overlap. However, this does not include all possibilities, such as skew lines, so this option is **not correct**.

3. **As retas podem ser somente concorrentes ou paralelas.**
   - Concurrent (intersecting) lines meet at a point, and parallel lines never meet and are equidistant. In \( \mathbb{R}^3 \), this option excludes skew lines, so it is **not fully accurate**.

4. **As retas podem ser paralelas ou perpendiculares.**
   - Parallel lines never intersect, and perpendicular lines intersect at a right angle. However, it also does not include the case of skew lines (non-parallel, non-intersecting lines), so this is **incorrect**.

5. **As retas podem ser coplanares ou reversas.**
   - Coplanar lines lie on the same plane and can be parallel or intersect. Skew (reversas) lines do not lie on the same plane and do not intersect. This is the **correct** option because it includes all possibilities: coplanar lines (either parallel or intersecting) and skew lines (not parallel and not intersecting).

### Correct Answer:
- **Option 5: As retas podem ser coplanares ou reversas.**

Let me know if you want more details or have any questions.

Here are five related questions:
1. What are the conditions for two lines to be coplanar in \( \mathbb{R}^3 \)?
2. How can you determine if two lines in \( \mathbb{R}^3 \) are skew?
3. What is the difference between intersecting lines and concurrent lines?
4. How can we define parallelism for lines in both \( \mathbb{R}^2 \) and \( \mathbb{R}^3 \)?
5. What are some real-life examples of skew lines in 3D?

**Tip:** When working with lines in 3D, always check whether the lines lie in the same plane to understand their relationship.

Qual das alternativas a seguir descreve corretamente as possíveis posições relativas entre duas retas r e s em R³?

Understand the possible relative positions of two lines in 3D space, including concepts like coplanar lines and skew lines. This problem explores geometric relationships in three dimensions, suitable for high school students.

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