If ,  then is true that  Justify your answer.

If  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

105. Find the position vector of a point R which divides the line joining  in the ratio 2 : 1 
(i) internally and (ii) externally.

If  an  are position vectors of points A and B respectively, then find the position vector of points of trisection of AB.