Short Answer Type
Multiple Choice QuestionsIf 
 and 
 are two collinear vectors, then which of the following are incorrect:
the respective components of 
 are proportional
the respective components of  are proportional
If 
 is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then 
 is a unit vector if
Short Answer Type
 in the ratio 2 : 1 
 externally in the ratio 1 :2. Also, show that P is the middle point of the line segment RQ.
Long Answer Type
 and 
 respectively, in the ratio 2 : 1Short Answer TypeIf 
 an 
 are position vectors of points A and B respectively, then find the position vector of points of trisection of AB.
Let 
 be position vectors of points P(2, 3, 4) and Q(4, 1, -2) respectively.
           
Position vector of mid-point of PQ is
     
i.e. 
  i.e.,  
,  then is true that 
 Justify your answer.
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