About This Chapter
Who's It For?
Anyone who needs help learning or mastering vectors material will benefit from the lessons in this chapter. There is no faster or easier way to learn about vectors. Among those who would benefit are:
- Students who have fallen behind in understanding types of vectors and vector operations
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning science (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 science 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 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 chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any vectors 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 vectors unit of a standard introductory physics course. Topics covered include:
- Types of vectors and their characteristics
- Adding and subtracting vectors
- Performing scalar multiplication of vectors
- Finding standard basis vectors
- Calculating resultants of vectors
- Solving vector resolution problems
- Finding the magnitude and direction of vectors in component form
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. Position Vector: Formula & Examples
It's very often necessary to describe the location of a point in space. Position vectors do this in a very precise way. In this lesson we look at the mathematical formula for position vectors and then you'll be able to test your knowledge with a quiz.
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