Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are
respectively, in the ratio 2 : 1
(i) internally (ii) externally
Given that
and ![]()
(i) The
lies on the segment PQ(internal division).If m:n is the ratio in which
divides PQ, then

Given m:n=2:1, m=2 and n=1
![]()
(ii) The
does not lie on the segment PQ(external division).If m:n is the ratio in which
divides PQ,then
![]()
Given m:n=2:1, m=2 and n=1
![]()