1.2 Dot Product and Orthogonality

1.2 Dot Product and Orthogonality - Dot Product and...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Dot Product and Orthogonality The Norm Dot Product Properties The Angles Between Two Vectors Dot Product and Orthogonality September 8, 2007 Previous Slide Back Forward Next Slide
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Dot Product and Orthogonality The Norm Dot Product Properties The Angles Between Two Vectors The norm or length of a vector Let v = ( v 1 , v 2 , . . . , v n ) be a vector in R n . We define its norm or length by the formula k v k = q v 2 1 + v 2 2 + . . . + v 2 n . Compare with the usual distance in R 2 or R 3 . Previous Slide Back Forward Next Slide
Background image of page 2
Dot Product and Orthogonality The Norm Dot Product Properties The Angles Between Two Vectors Example If v = (2 , 1 , 1 , - 1 , 5) in R 5 find k v k . Previous Slide Back Forward Next Slide
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Dot Product and Orthogonality The Norm Dot Product Properties The Angles Between Two Vectors A unit vector is a vector of length 1. Previous Slide Back Forward Next Slide
Background image of page 4
and Orthogonality The Norm Dot Product Properties The Angles Between Two Vectors Example Find a unit vector that points in the same direction as v = (3 , 4). Previous Slide
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/18/2008 for the course LINEAR ALG 040 taught by Professor Dillhion during the Spring '08 term at UWO.

Page1 / 18

1.2 Dot Product and Orthogonality - Dot Product and...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online