About This Chapter
Vectors in Algebra - Chapter Summary
This chapter is designed to help you tell the difference between scalars and vectors and to apply appropriate formulas and solve relevant problems pertaining to these two concepts. Each lesson defines important terms and provides examples and illustrations that help to clarify the material being discussed. Once you have completed your study of this chapter, you should be able to:
- Compare and differentiate between scalars and vectors
- Understand vector resolution and solve vector resolution problems
- Use equations to calculate dot products
- Determine the cross product of two vectors
- Explain what a triple scalar product is and how to calculate it
Learning these complex topics is made simple with short video and text presentations prepared by experienced instructors in the field. Lessons are easily accessible 24/7 on any device so you can study whenever it's most convenient for you. Measure how much you have learned and determine if you need further review of any topic by taking the self-assessment quizzes found in each lesson.
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. 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.
3. 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.
4. 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.
5. Triple Scalar Product: Definition, Formula & Example
Vectors and scalars are often discussed in physics. In this lesson, we define a particular multiplication of three vectors called the triple scalar product and use an example to show how it is calculated.
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Other chapters within the UPSEE Paper 1: Study Guide & Test Prep course
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- UPSEE Paper 1 Flashcards