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 : 1Let 
and 
be position vectors of P and Q respectively.
(i) The position vector of the point R dividing the join of P and Q internally in the ratio 2 : 1 is
i.e.. 
(ii) The position vector of the point R dividing the join of P and Q externally in the ratio 2 : 1 i.e.. internally in the ratio 2 : – 1 is 
Short Answer TypeIf 
an 
are position vectors of points A and B respectively, then find the position vector of points of trisection of AB.
, then is true that 
Justify your answer.
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