Question
The points D, E, F divide the sides BC, CA. AB of a triangle in the ratio 1 : 4, 3 : 2 and 3 : 7 respectively. Show that the sum of the vectors 
is parallel to 
where K divides AB in the ratio 1 : 3.
Solution
Let 
be position vectors of A, B, C respectively.
P.V. of D = 
+ (P.V. of F - P.V. of C)
