# Ch 3: Vectors in Linear Algebra: Tutoring Solution

The Vectors in Linear Algebra chapter of this Linear Algebra Tutoring Solution is a flexible and affordable path to learning about vectors. These simple and fun video lessons are each about five minutes long and they teach the definition of vectors and how to perform operations on vectors as required in a typical linear algebra course.

## How it works:

• Begin your assignment or other linear algebra work.
• Identify the vector concepts that you're stuck on.
• Find fun videos on the topics you need to understand.
• Press play, watch and learn!
• Complete the quizzes to test your understanding.
• As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our Linear Algebra Tutoring Solution will benefit any student who is trying to learn vectors in linear algebra and earn better grades. This resource can help students including those who:

• Struggle with understanding scalars and vectors, the dot product of vectors, the basis of a vector space or any other vectors in linear algebra topic
• Have limited time for studying
• Want a cost effective way to supplement their math learning
• Prefer learning math visually
• Find themselves failing or close to failing their vectors in linear algebra unit
• Want to get ahead in linear algebra

## Why it works:

• Engaging Tutors: We make learning vectors in linear algebra simple and fun.
• Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
• Consistent High Quality: Unlike a live algebra tutor, these video lessons are thoroughly reviewed.
• Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn vectors in linear algebra on the go!
• Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives

• Define and determine the difference between scalars and vectors.
• Understand how to perform operations on vectors in the plane.
• Study the definition and application of the dot product of vectors.
• Explore vector spaces.
• Learn how to find the basis of a vector space.
• Examine orthonormal bases.
• Understand the Gram-Schmidt process orthonormalizing vectors.
• Define linear combinations and span, as well as linear dependence and independence.

11 Lessons in Chapter 3: Vectors in Linear Algebra: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
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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