1 / 15

What is a vector?

Unit 2 – Vectors Single and Combining vectors (does not include course correction problems) Course 4. What is a vector?. Vector Basics (click here) You can view this applet if you have Geometer’s Sketchpad. Source: Mathforum.org Check your learning…..

lexi
Download Presentation

What is a vector?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Unit 2 – VectorsSingle and Combining vectors(does not include course correction problems)Course 4

  2. What is a vector? • Vector Basics (click here) You can view this applet if you have Geometer’s Sketchpad. Source: Mathforum.org Check your learning….. What are the components of a vector?

  3. Vector Components • Magnitude (r) – length (measured in any units of length) • Heading – measured in degrees from due north clockwise Direction - Measured in degrees from due east counterclockwise Since you will be measuring angles with a protractor, use this link to refresh your skills Using a Protractor to Measure Angles

  4. More about Heading… • Heading starts out from due North clockwise • Start out at Due North Due North 0 degrees Clockwise Or 360 degrees after complete rotation Due West 270 degrees Due East 90 degrees Due South 180 degrees

  5. More about Direction… Direction starts out from East counter-clockwise • Start out at East North 90 degrees Counter Clockwise START HERE West 180 degrees East 0 degrees Or 360 after complete rotation South 270 degrees

  6. Practice Sketching Vectors • Sketch the vectors with the following magnitude and direction • r = 143 ; = 25 • r = 110 ; = 60 Check your measurements of the angles against the following link (Skip Intro): Make and Measure

  7. Vector Components • What kind of shapes can you create by drawing a horizontal and vertical line connecting the vectors’ tail and head? • Right Triangles Connect the 2 vectors tail to head. Make right triangles from the single vectors you drew in the previous slide.

  8. Combining Vectors • Vector Addition Visual (click here) • What kind of shape are you creating when combining 2 vectors? • Triangle

  9. Combine the Vectors • Go to following applet to see the resultant vector. You will have to sketch the vectors according to polar coordinates and degrees. The blue vector is your resultant vector. Show components after you connect the vectors to see their components. • Vector Addition red vector = vector a; green vector = vector b; Blue vector = resultant vector (a+b)

  10. Vector Components cont’d.. r = 143 Vertical Ay Component Vector ‘a’ (not drawn to scale) 25 Horizontal Ax component Ax = rcos 25 = 143 cos 25 = 129.6 Ay = r sin 25 = 143 sin 25 = 60.43

  11. Second Vector Components vertical By r = 110 60 Horizontal Bx Bx= rcos 60 = 110 cos 60 = 55 By = r sin 60 = 110 sin 60 = 95.26

  12. Let’s use Trig to find resultant Vector • horizontal and vertical components of 2 vectors

  13. Second Vector Components Resultant Vector A + B 155.69 Ax + Bx = 129.6 + 55 = 184.6 Ay + By = 60.43 + 95.26 = 155.69 184.6

  14. Resultant Vector Magnitude What formula can you use? Pythagorean Theorem Resultant Vector A + B = 241.49 155.69 184.6 = 241.49

  15. Resultant Vector Direction Resultant Vector A + B = 241.49 155.69 184.6

More Related