# Ch 2: Vectors in Physics: Help and Review

### About This Chapter

## Who's It For?

Anyone who needs help learning or mastering vector material will benefit from the lessons in this chapter. There is no faster or easier way to learn vectors. Among those who would benefit are:

- Students who have fallen behind in understanding vectors
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning physics (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about vectors
- Students who struggle to understand their teachers
- Students who attend schools without extra physics learning resources

## How It Works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Vectors in Physics chapter exam.

## Why It Works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the Vectors in Physics chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any vector question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students Will Review:

This chapter helps students review the concepts in a vector unit of a standard physics course. Topics covered include:

- Identifying the types and importance of vectors
- Vector addition and resultants
- Scalar multiplication of vectors
- The components and magnitude of a vector
- Vector resolution and dot product
- Finding the cross product of two vectors
- Calculating the resultants of vectors

### 1. What Is a Vector? - Definition & Types

After watching this lesson, you will be able to explain what vectors are in physics, give some examples of vectors and have a basic idea of how they can be manipulated mathematically. A short quiz will follow.

### 2. Vector Addition (Geometric Approach): Explanation & Examples

After watching this video, you will be able to explain why we might need to add two vectors and, given magnitudes and directions, add two vectors using geometric methods. A short quiz will follow.

### 3. Resultants of Vectors: Definition & Calculation

After watching this video, you will be able to explain what a resultant of a vector is and use mathematics to calculate the resultant of two vectors. A short quiz will follow.

### 4. Scalar Multiplication of Vectors: Definition & Calculations

After watching this video, you will be able to explain what scalar multiplication is and complete basic calculations involving the scalar multiplication of vectors. A short quiz will follow.

### 5. Vector Subtraction (Geometric): Formula & Examples

After watching this lesson, you will be able to subtract vectors geometrically and give examples of how that process might be used in physics. A short quiz will follow.

### 6. Standard Basis Vectors: Definition & Examples

After watching this lesson, you will be able to explain what standard basis vectors (otherwise known as unit vectors) are and how they are useful. A short quiz will follow.

### 7. How to Do Vector Operations Using Components

After watching this lesson, you will understand how we analyze physics involving two-dimensional vectors and be able to split a vector at an angle into a vertical and horizontal component. A short quiz will follow.

### 8. Vector Components: The Magnitude of a Vector

After watching this lesson, you will be able to explain what the magnitude of a vector refers to, and how to calculate it when given the components of a vector. A short quiz will follow.

### 9. Vector Components: The Direction of a Vector

After watching this lesson, you will be able to explain what is meant by the direction of a vector and calculate the direction of a vector when given the x and y components. A short quiz will follow.

### 10. Vector Resolution: Definition & Practice Problems

After watching this lesson, you will be able to explain what vector resolution is and solve problems involving vector resolution. A short quiz will follow.

### 11. The Dot Product and Vectors: Definition & Formula

After watching this lesson, you will be able to explain what a dot product is, how it is different from a cross product, and use equations to calculate dot products. A short quiz will follow.

### 12. Finding The Cross Product of Two Vectors

After watching this lesson, you will be able to explain what a cross product is and calculate the cross product of two vectors. A short quiz will follow.

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### Other Chapters

Other chapters within the High School Physics: Help and Review course

- Introduction to Physics: Help and Review
- Kinematics in Physics: Help and Review
- Newton's Laws in Physics: Help and Review
- Work, Energy, & Power in Physics: Help and Review
- Linear Momentum in Physics: Help and Review
- Rotational Motion in Physics: Help and Review
- Circular Motion and Gravitation in Physics: Help and Review
- Oscillations in Physics: Help and Review
- Electrical Forces and Fields in Physics: Help and Review
- Potential and Capacitance in Physics: Help and Review
- Direct Current Circuits in Physics: Help and Review
- Magnetism in Physics: Help and Review
- Waves, Sound, and Light: Help and Review
- Atomic and Nuclear Physics: Help and Review
- Fluid Mechanics in Physics: Help and Review
- Thermal Physics & Thermodynamics: Help and Review
- Relativity & Quantum Theory in Modern Physics: Help and Review
- The Universe in Physics: Help and Review
- Physics Lab Experiments: Motion: Help and Review
- Physics Lab Experiments: Matter & Light: Help and Review
- Physics Lab Experiments: Electricity: Help and Review