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Linear Algebra 5.1 Length and Dot Product in Rn

5.5K views on YouTube

Kimberly Brehm 161 tutorials here
Mathematics

This video is all about the Euclidean Inner Product or dot product. We learn how to find the length of a vector, distance between vectors, and the angle between vectors.

Video Chapters:
0:00 Introduction
0:08 Vector Length
2:28 Unit Vector
4:36 Direction
7:17 Understanding the Distance Between Two Vectors
8:43 Find the Distance Between Two Vectors
11:45 The Dot Product
16:03 Properties of the Dot Product
19:48 Cauchy-Schwarz Inequality and Other Theorems
22:26 Law of Cosines
25:25 Dorkville
26:48 Find Cosine Theta
28:10 Find The Angle Between Vectors
29:59 Understanding the Angle Between Vectors
31:15 Orthogonal Vectors
34:02 Determine if Vectors are Orthogonal
37:35 Up Next

Textbook: Elementary Linear Algebra 8e, Ron Larson

Slide Decks: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/IgDVnTt2BohsRLsMfseN5FijAXYDd49YlIkHeq5cfmCxG2g?e=ZwTt3c

Playlist: https://youtube.com/playlist?list=PLl-gb0E4MII1RjTV2GegmXFTJwTrek8OI&si=g3Xc3yHB5GkmxMF4