Toll-Free Info & Ordering
M-F: 9am-5pm (PST):
(877) RAPID-10
24/7 Technical Support
Member Login:
Rapid Learning Member Login

Rapid Courses Catalog
Math Survival Weekly
Get the insider's tips and tricks in how to survive your math course and ace the next test. Subscribe the Web's only math weekly newsletter for students and learn:
- How to Study Math Effectively
- How to Take Math Courses Strategically
- How to Solve Math Problems Systematically
- How to Score High in Math Exams
- How to Master Math Rapidly

Enter your name and email below and get started today!
Your Name * 
Email * 
Math Study Lounge
These study sheets are for quick review on the subjects. Refer to our rapid courses for comprehensive review.
    - Getting Started with Algebra
    - Geometry Basics
    - How to Solve Math Problems
    - Trigonometry Quick Review
    - Statistics At-A-Glance
    - Calculus Preview

Vectors and Dot Products

Topic Review on "Title":

The Magnitude of a vector:
Let be a vector then .

The dot product of vectors:

  • Let and be two vectors then the dot product of V and U is equal to:
  • .

Norm of a vector and the cosine of a central angle:

For a central angle we can rewrite the norm of a vector as relation with the product of the norms of vectors U and V and the product of vectors U and V, namely

Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

The study of vectors and dot products is mentioned in this tutorial. The properties of vectors are discussed in the examples and their use in application problems. The magnitude of a vector in comparison to the vector norm is mentioned in one of the definitions included in one of the example problems.

Dot Products are discussed in this tutorial to assist on the introduction of their application in example problems. The use of a central and its cosine is discussed in one of the definition of a dot product and its norm.

Tutorial Features:

Specific Tutorial Features:
• The properties of vectors and their graphical representation are presented in some examples.
• Definition of a norm and its magnitude is included in one of the example problems.
• Questions are included at the end of the tutorial to test knowledge and some of the concepts discussed in the tutorial.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
Definition of a vector
Magnitude of a vector and its properties
Addition of vectors and examples
Opposite vectors and examples
Vector dot product and examples
Norm of a vector and its relation with the cosine of a central angle

See all 24 lessons in Trigonometry, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Trigonometry Visually in 24 Hours

Home  |   Courses  | Preview  |  Review  |   About  |  Contacts
©2014 Rapid Learning Center. Privacy Policy | Disclaimer
Chemistry Survival Publishing, Biology Survival Publishing and Physics Survival Publishing are the divisions of Rapid Learning Inc