# Ch 15: Honors Algebra 1: Vectors in Linear Algebra

### About This Chapter

## Honors Algebra 1: Vectors in Linear Algebra - Chapter Summary and Learning Objectives

Linear algebra is used in such disciplines as chemistry, cryptography and even in manipulating economies. The lessons in this chapter instruct you in the subject of scalars and vectors.

These lessons are 5-10 minute long videos, each with a quiz at the end to assess your understanding of the material you just studied. For any needed restudy, you can refer to the video transcript or use the keyword-based timeline tool that allows you to replay the specific segment you want. You can also ask questions of the instructor. By the time you are done, you will know:

- The definitions of and differences between scalars and vectors
- Performance of math operations on vectors in the plane
- The definition and application of dot product vectors

Lesson | Objective |
---|---|

Scalars and Vectors: Definition and Difference | Get to know the difference between scalars and vectors and the significance of adding a direction. |

Performing Operations on Vectors in the Plane | Learn to add, subtract, multiply and divide vectors. |

The Dot Product of Vectors: Definition & Application | Find the dot product of vectors algebraically and geometrically. |

### 1. Scalars and Vectors: Definition and Difference

In this lesson, we will examine scalars and vectors, learn why it is important to know the difference between the two and why remembering to add a direction to many of your exam answers could be the reason you get it right or wrong.

### 2. Performing Operations on Vectors in the Plane

After watching this video lesson, you should be able to add, subtract, and multiply your vectors. Learn how easy it is to perform these operations and what you need to keep in mind when performing these operations.

### 3. The Dot Product of Vectors: Definition & Application

After watching this video lesson, you will be able to find the dot product of vectors both algebraically and geometrically. Learn the difference between the two and what you need in order to calculate them.

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### Other Chapters

Other chapters within the Honors Algebra 1 Textbook course

- Honors Algebra 1: Basic Arithmetic Review
- Honors Algebra 1: Fractions & Decimal Review
- Honors Algebra 1: Calculations, Ratios, Percent & Proportions
- Honors Algebra 1: Properties of Real Numbers
- Honors Algebra 1: Exponents & Scientific Notation
- High School Algebra: Radical Expressions
- Honors Algebra 1: Composing Algebraic Equations & Expressions
- Honors Algebra 1: Solving Algebraic Expressions & Equations
- Honors Algebra 1: Properties of Functions
- Honors Algebra 1: Absolute Value Expressions & Equations
- Honors Algebra 1: Matrices in Linear Equations
- High School Algebra: Working With Inequalities
- High School Algebra: Properties of Exponents
- High School Algebra: Properties of Polynomial Functions
- High School Algebra: Complex and Imaginary Numbers
- High School Algebra: Algebraic Distribution
- Honors Algebra 1: Linear Equations
- High School Algebra: Factoring
- Honors Algebra 1: Factoring with FOIL, Graphing Parabolas & Solving Quadratics
- Honors Algebra 1: Graphing & Factoring Quadratic Equations
- High School Algebra: Rational Expressions
- High School Algebra: Cubic Equations
- Honors Algebra 1: Descriptive Statistics
- Honors Algebra 1: Data Analysis
- Honors Algebra 1: Probability & Statistics
- Honors Algebra 1: Units of Measurement in Geometry
- Honors Algebra 1: Shapes of Geometry
- Honors Algebra 1: Similar Polygons
- Honors Algebra 1: Pre-Calculus Geometry
- High School Algebra: Well-Known Equations
- Honors Algebra 1: Maximum & Minimum Value of Functions
- Honors Algebra 1: Patterns in Math