This question was well attempted by majority of the candidates.  However, few candidates mistook distance for displacement as they failed to express displacement as a bearing in vector quantity.

The expected responses are as shown below:

(a)     Distance is a scalar quantity while displacement is a vector quantity. 

(i)         Distance  =  12  +  5  =  17 km.                                                                                 
 
  (ii)        Magnitude of displacement,   x  =     122  +  52

                                                  x   =       13 km
                                              
            tan θ =  5/12  = 0.4167
            θ   =   tan-1  0.4167
θ   =   22.6o

                        x   =   13 km  N 67.4 o E