# Definition of norm/length of a vector, coordinate setting

math.la.d.vec.norm.coord

# Dot Product and Cross Product Lesson

This is a video from the University of Waterloo. Dot Product, Cross-Product in R^n (which should be in Chapter 8 section 4 about hyperplanes.

##### math.la.d.crossproduct
Created On
October 23rd, 2013
7 years ago
Views
3
Type
Video
Perspective
Introduction
Language
English
Content Type
text/html;charset=UTF-8

# Dot Product, Cross Product, and Scalar Equations Quiz

Quiz from the University of Waterloo. This is intended to be used after the video of the same name.

##### math.la.d.vec.orthogonal
Created On
October 23rd, 2013
7 years ago
Views
3
Type
Unknown
Timeframe
Post-class
Perspective
Example
Language
English
Content Type
text/html;charset=UTF-8

# Inner products and distance

Inner product of two vectors in R^n, length of a vector in R^n, orthogonality. Motivation via approximate solutions of systems of linear equations, definition and properties of inner product (symmetric, bilinar, positive definite); length/norm of a vector, unit vectors; definition of distance between vectors; definition of orthogonality; Pythagorean Theorem.

##### math.la.t.vec.orthogonal
Created On
August 22nd, 2017
3 years ago
Views
2
Type
Video
Language
English
Content Type
text/html; charset=utf-8

# Orthogonality - A First Course in Linear Algebra

In this section we define a couple more operations with vectors, and prove a few theorems. At first blush these definitions and results will not appear central to what follows, but we will make use of them at key points in the remainder of the course (such as Section MINM, Section OD). Because we have chosen to use $$\complexes$$ as our set of scalars, this subsection is a bit more, uh, … complex than it would be for the real numbers. We will explain as we go along how things get easier for the real numbers $${\mathbb R}\text{.}$$ If you have not already, now would be a good time to review some of the basic properties of arithmetic with complex numbers described in Section CNO. With that done, we can extend the basics of complex number arithmetic to our study of vectors in $$\complex{m}\text{.}$$