1.2 Dot Product and Orthogonality

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

Info icon This 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
Image of page 1

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

View Full Document Right 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 v = 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
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 v . Previous Slide Back Forward Next Slide
Image of page 3

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

View Full Document Right 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
Image of page 4
Dot Product 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).
Image of page 5

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

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

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern