Applied 40S April 27, 2009

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Introduction to vectors: definitions and naming conventions.

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Applied 40S April 27, 2009

  1. 1. Vectors A Sense of Direction by flickr user Scuddr
  2. 2. Identify each of the following quantities as scalar or vector. vector scalar (e) Jeff was driving at (a) There are five people living 100 km/h for 40 minutes. in the house just north of yours. scalar vector (f) Jess jogged six blocks (b) The airplane flew 515 west along Portage Avenue. km/h at a bearing of 315°. vector vector (c) Today we had a (g) The boat was headed 30 km/h north wind. N42°W across the lake. vector vector (d) There are 24 (h) The tires were worn out after 120 000 students in math class. kilometres of driving to and from work. scalar scalar
  3. 3. Vectors Vector: A quantity that has both a magnitude and a direction. 4 Notations for Writing a Vector (1) An arrow (2) Bearings: Angle is always measured clockwise from North. • length indicates magnitude. Angle is always written as a three • tip indicates direction. digit number. (3) [direction] [angle] [direction] (4) [angle] [direction] of [direction]
  4. 4. 4 Notations for Writing a Vector (1) An arrow (2) Bearings: Angle is always • length indicates magnitude. measured clockwise from North. Angle is always written as a three • tip indicates direction. digit number. 1cm = 10km 60° 3cm Note: All of the above examples indicate the same vector.
  5. 5. 4 Notations for Writing a Vector (2) [angle] [direction] of [direction] (3) [direction] [angle] [direction] 1cm = 10km 60° 3cm Note: All of the above examples indicate the same vector.
  6. 6. State the direction of each vector in five ways.
  7. 7. ABCD is a parallelogram with AD = DE. Each segment in the diagram is a vector. Answer the following questions. HOMEWORK (a) Name a vector (b) Name a vector that that is equal to AD is the opposite of AB (d) Name a vector that is parallel (c) Name a vector that to but not equal to EA or EB is collinear with BA
  8. 8. State the magnitude and direction of each vector. HOMEWORK
  9. 9. HOMEWORK State the magnitude and direction of each vector. (You can determine the answer using ruler and protractor.)
  10. 10. Draw scale diagrams of the following vectors using pencil, ruler, protractor, and paper. Label the diagram. Be sure to indicate the scale you used. HOMEWORK (a) Tiffany walks 13 blocks in a direction E15°S. (b) A boat is headed 300° at 45 km/h.

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