Linear Algebra | 1.1 Vector Basics

1. Introduction to Vectors
2. Length of a 2-Dimensional Vector
3. Translational Property of Vectors
4. Vector Addition
5. Multiplying a Vector by a Scalar
6. Vector Subtraction
7. Vectors in 3-Dimensions (3 components)
8. Length of a 3-Dimensional Vector
9. Definition of $\mathbb{R}^n$
Summary

For any positive integer,$n,$ we define $\mathbb{R}^n$ as the set of all n-tuples of real numbers.

10. Length of a Vector
Summary

Let $\mathbf{v}\in\mathbb{R}^n,$ then

$||\mathbf{v}|| = \sqrt{v_1^2 + v_2^2 + \cdot\cdot\cdot + v_n^2}$

Questions

Please post your questions about this video in our HW Help Forum

Mistakes

If you found a mistake in this video please email us at feedback@rootmath.org