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Multiple-Choice Questions on Vectors

 

 

Circle the correct answer

 

In a 2-D coordinate system, assume positive x is to the right, positive y is up and angles are measured positive counterclockwise

 

1.  If you drive west at 20 km/h for one hour, then drive east at 15 km/h for one hour, your net displacement will be

 

     a. 5 km east.

 

     b. 35 km west.

 

     c. 35 km east.

 

     d. 5 km west.     Answer

 

2.  A 200-lb force is pulling on an object, as shown below. The sign of the x and y components of the force are

 

     a. x (positive), y (positive).

 

     b. x (positive), y (negative).

 

     c. x (negative), y (positive).     Answer

 

     d. x (negative), y (negative).

 

 

 

 

 

3.  Three boys each pull with a 20-N force on the same object as shown below. The resultant force will be

 

     a. zero.

 

     b. 20 N to the left.     Answer

 

     c. 20 N up.

 

     d. 20 N down.

 

 

 

 

4. Two vectors, R and S, are known:

 

 

 

If vector S is subtracted from vector R, (both same magnitude) the direction of the vector T = RS is

     a.    North  http://alpcentauri.info/img140.gif

     b.    South  http://alpcentauri.info/img141.gif     

     c.    Southwest   Answer

     d.    Northwest

 

5. Two vectors, R and S, are known:

 

 

 

If vector S is added to the vector R, then the vector T = R + S is

 

     a.    North  http://alpcentauri.info/img140.gif

     b.    South  http://alpcentauri.info/img141.gif     

     c.    Southwest  

     d.    Southeast      Answer

 

6.  A vector of magnitude 10 has an angle with the positive x axis (East) of 120 degrees.

     What are its components?

 

     a. 5 and 8.7

 

     b. –5 and 8.7     Answer

 

     c. 5 and –8.7

 

     d. –5 and –8.7

 

7.  A vector of magnitude 10 has an angle with the positive x axis (East) of –60 degrees.

     What are its components?

 

     a. 5 and 8.7

 

     b. –5 and 8.7

 

     c. 5 and –8.7     Answer

 

     d. –5 and –8.7

 

8 . A vector has components x = 6 m and y = 8 m. What are its magnitude and

     direction?

 

     a. 10 m and 30 degrees

 

     b. 14 m and 37 degrees

 

     c. 10 m and 53 degrees     Answer

 

     d. 14 m and 53 degrees

 

9. A vector has components x = –2 m and y = –2 m. What is its direction (angle with

      respect to East)?

 

      a. 45 degrees

 

      b. 135 degrees

 

      c. 225 degrees     Answer

 

      d. –45 degrees

 

10. Three vectors have components (x,y): A = (2,3), B = (4,–7), and C = (–6,–3). What

      is the magnitude of the resultant vector (D = A + B + C)?

 

      a. –7

 

      b. 17.7

 

      c. 15

 

      d. 7     Answer

 

11. Three vectors have components (x,y): A = (2,3), B = (4,–7), and C = (–6,–3). What

       is the magnitude of the resultant vector (D = AB C)?

 

      a. 13.6     Answer

 

      b. 15

 

      c. 52

 

      d. 7

 

12 . Where in the figure shown below is the velocity positive?

    

 

 

     a. A   Answer

 

     b. B

 

     c. C

 

     d. D

 

     e. E

 

     f.  F