## Section 8.1 Equations of Lines in Two-Space and Three-Space

**Key Concepts:**

Lessons for Section 8.1:

**Equations of Lines in Two-Space (R²**)

**and Three-Space (R³**)

1. Vector Equation of a Line in R²

2. Determining Vector Equation of a Line in R² (

3. Vector and Parametric Equation of a Line in R³

**Example 1**,**Example 2**and**Example 3**)3. Vector and Parametric Equation of a Line in R³

**Note**: The title of this YouTube video should be "Lines in 3D" (Video Title Error).

4. Parametric Equation of a Line in R³

5. Determining Vector and Parametric of a Line in R³ (

6.

7. Applications of Properties of Perpendicular/Parallel Lines in R³ (

8. More on Equations of Lines in Two-Space and Three-Space (A 3-part lesson)

**Example 1**and**Example 2**)6.

**Perpendicular, Parallel and Skew Lines in R³**7. Applications of Properties of Perpendicular/Parallel Lines in R³ (

**Example 1**,**Example 2**and**Example 3**)8. More on Equations of Lines in Two-Space and Three-Space (A 3-part lesson)

9.

**Symmetric Equation of a Line in Three Space**

10. Equations of a Line in Three Space (Vector, Parametric and Symmetric Equations of a Line)**Assigned Practices:**

- eBook: Read p. 428 to 436

- eBook: Do exercises on p. 437 #1 to 3, #5 to 15, #17

- eBook: In-Class exercises on p. 438 #20 to 21, #23 to 26