Figure 1 Coordinate system

Products of Vectors

48. 
    The vectors , , and , are shown in Fig. 2.41. Find the scalar products (a) ; (b) ; (c) . (c)
    
49. 
    Given two vectors , . (a) Find the scalar product of the two vectors and . (b) Find the angle between these two vectors.
    
50. 
    What is the angle between each vectors:
    

1. 
   and
   
2. 
   and
   

51. 
    The vectors and are drawn so as shown in Fig 2.43. The magnitude of the vector A is 4 m and vector D is 2 m. (a) What is the magnitude and direction of the vector product ? (b) What is the magnitude and direction if ?
    
52. 
    

    Figure 2.44

    , . Find the vector product (expressed in unit vectors) of the two vectors. What is the magnitude of the vector product?
    
53. 
    Given two vectors as shown in Fig. 2.44. The length of the vector A is 12 m and the vector B is 18 m. (a) find the magnitude and direction of the vector product ; (b) find the magnitude and direction of .
    

Test – 1

1. 
   Which one of the following is a vector quantity?
   

1. 
   distance b) displacement c) mass d) time
   

2. 
   Which type of quantity is characterized by both magnitude and direction?
   

a) scalar b) vector c) sine d) cosine

3. 
   Which one of following pairs of dis­placements can not be added to give a resul­tant displacement of 5 m?