Find the position vector of a point R which divides the line joining two points
P and Q whose position vectors are (2
) and ( – 3 )
a
b
a
b
+
r
r
r
r
 externally in the ratio
1 : 2 Also, show that P is the mid point of the line segment RQ 10 The two adjacent sides of a parallelogram are 
ˆ
ˆ
ˆ
ˆ
ˆ
ˆ
2
4
5  and  
2
3
i
j
k
i
j
k
−
+
−
−