Calc10_2 - 10.2 Vectors in a Plane Mesa Verde National Park...

Info icon This preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
10.2 Vectors in a Plane Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2003 Mesa Verde National Park, Colorado
Image of page 1

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

View Full Document Right Arrow Icon
Warning: Only some of this is review .
Image of page 2
Quantities that we measure that have magnitude but not direction are called scalars . Quantities such as force, displacement or velocity that have direction as well as magnitude are represented by directed line segments . A B initial point terminal point AB uuu v The length is AB uuu v
Image of page 3

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

View Full Document Right Arrow Icon
A B initial point terminal point AB uuu v A vector is represented by a directed line segment. Vectors are equal if they have the same length and direction (same slope).
Image of page 4
A vector is in standard position if the initial point is at the origin. x y ( 29 1 2 , v v The component form of this vector is: 1 2 , v v = v
Image of page 5

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

View Full Document Right Arrow Icon
A vector is in standard position if the initial point is at the origin. x y ( 29 1 2 , v v The component form of this vector is: 1 2 , v v = v The magnitude (length) of 1 2 , v v = v is: 2 2 1 2 v v = + v
Image of page 6
P Q (-3,4) (-5,2) The component form of PQ uuu v is: 2, 2 = - - v v (-2,-2) ( 29 ( 29 2 2 2 2 = - + - v 8 = 2 2 =
Image of page 7

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

View Full Document Right Arrow Icon
If 1 = v Then v is a unit vector .
Image of page 8
Image of page 9
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