(i) Let position vectors of points A,B and C are 
, 
and 
respectively. Point D divides line segment BC internally in the ratio 2 : 1. Find vector 
.
(ii) Let ABCD is parallelogram. Position vector of points A,C and D are 
, 
and 
respectively . If E divides line segement AB internally in the ratio 3 : 2 then find vector 
.
(iii) Let ABCD is trapezium such that 
= 3 
. E divides line segement AB internally in the ratio 2 : 1 and F is mid point of DC. If position vector of A,B and C are 
respectively then find vector 
.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) 
(ii) 
(iii) 
Sol. (i) 
Position vector of D is 
vector l 
= 
(ii) 
Vector 
= 
Vector 
= 
Vector 
= 
Position vector of E is 
vector 
= 
– 
= 
(iii)
Vector 
= 
Vector 
= 
= 
= 
+ 
= 
+ 
vector 
= 
= 
– 
= 
– 
= 
+ 
= 
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