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Ch 1: AP Physics C: Vectors

About This Chapter

Learn about the components of vectors and how to work through equations involving them in this lesson preparing you for the AP Physics C exam. High-quality instruction and engaging videos come together to maximize the effectiveness of your studies.

AP Physics C: Vectors - Chapter Summary

The videos in this physics chapter discuss the nature of vectors and how to work through equations evaluating them. Our instructors provide you with a deep foundation of knowledge about vectors to draw upon in their calculations and analysis during related exams. This chapter includes lessons which explain:

  • The definition of vectors
  • Resultants of vectors
  • Subtraction, addition, and multiplication of vectors
  • Vector components
  • The dot product and cross product of two vectors

Video Objective
What is a Vector? - Definitions & Types Explore force vectors and velocity vectors in this video explaining vector basics.
Vector Addition (Geometric Approach): Explanation & Examples See how to add vectors through the geometric approach.
Resultants of Vectors: Definition & Calculation Explore how to find resultant vectors through vector addition.
Scalar Multiplication of Vectors: Definition & Calculations Define scalar multiplication and see related equations.
Vector Subtraction (Geometric): Formula & Examples Learn how to use the head-to-tail method to solve subtraction equations with vectors in this video.
Standard Basis Vectors: Definition & Examples Describe standard basis vectors and how to find them mathematically.
How to Do Vector Operations Using Components Explore methods for using direction and magnitude to solve vector operations.
Vector Components: The Magnitude of a Vector Explain how to solve for magnitude using the component form of vectors.
Vector Components: The Direction of a Vector See steps for solving for direction in component form.
Vector Resolution: Definition & Practice Problems Learn to split vectors into two or more to find vector resolution in this lesson.
The Dot Product and Vectors: Definition & Formula Review how to find the dot products of two vectors here.
Finding the Cross Product of Two Vectors Describe the process of finding the cross product of two vectors in this video lesson.

12 Lessons in Chapter 1: AP Physics C: Vectors
Test your knowledge with a 30-question chapter practice test
What Is a Vector? - Definition & Types

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.

Vector Addition (Geometric Approach): Explanation & Examples

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.

Resultants of Vectors: Definition & Calculation

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.

Scalar Multiplication of Vectors: Definition & Calculations

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.

Vector Subtraction (Geometric): Formula & Examples

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.

Standard Basis Vectors: Definition & Examples

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.

How to Do Vector Operations Using Components

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.

Vector Components: The Magnitude of a Vector

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.

Vector Components: The Direction of a Vector

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.

Vector Resolution: Definition & Practice Problems

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.

The Dot Product and Vectors: Definition & Formula

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.

Finding The Cross Product of Two Vectors

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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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