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Identify each of the following quantities as scalar or vector.

                               scalar        vector
                                                               vector


(a) There are 3 people living in          (e) Peter was driving at 
    the house just west of yours.             100 km/h for 40 minutes.
            vector
                                                      scalar

 (b) The airplane flew                   (f) Mike jogged six blocks 
      535 km/h at a bearing                  west along Portage Avenue.
      of 315°.       vector                  vector
    scalar
 (c) Today we had a                     (g) The boat was headed S42°E
      50 km/h north wind.                    across the lake.
          scalar vector                            vector

 (d) There are 32                   (h) The tires were worn out after 120 000 
                  scalar                                             scalar
                                    kilometres of driving to and from work.
     students in math class.
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 
    • length indicates magnitude.        measured clockwise from North. 
    • tip indicates direction.           Angle is always written as a three 
                                         digit number.




(3) [direction] [angle] [direction]   (4) [angle] [direction] of [direction]
4 Notations for Writing a Vector
(1) An arrow                         (2) Bearings: Angle is always 
   • length indicates magnitude.     measured clockwise from North. 
   • tip indicates direction.        Angle is always written as a three 
                                     digit number.
                 1cm = 10km
  3cm      60°




        Note: All of the above examples indicate the same vector.
4 Notations for Writing a Vector

(3) [direction] [angle] [direction]    (2) [angle] [direction] of [direction]




                                            1cm = 10km
                           3cm        60°




        Note: All of the above examples indicate the same vector.
State the direction of each vector in five ways.
ABCD is a parallelogram with AD = DE. Each 
segment in the diagram is a vector. Answer the 
following questions.



(a) Name a vector              (b) Name a vector that 
that is equal to AD            is the opposite of AB




(c) Name a vector that          (d) Name a vector that is parallel 
is collinear with BA            to but not equal to EA or EB
State the magnitude and direction of each vector.




scale: 1 cm = 10 m
State the magnitude and direction of each 
vector. (You can determine the answer using ruler and protractor.)
Page 307


questions 1 ­ 8
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