If position vectors of the points A, B and C are a, b and c respectively and the points D and E divides line segment AC and AB in the ratio 2:1 and 1:3, respectively. Then, the points of intersection of BD and EC divides EC in the ratio

Let position vectors of points A,B and C are vec a,vec b and vec c respectively.Point D divides line segment BCinternally in the ratio 2:1. Find vector vec AD.

The position vectors of the points A and B are 2 veca + vecb and veca - 3vecb . If the point C divides the line segment bar (AB) externally in the ratio 1:2 , then find the position vector of the point C. Show also that A is the midpoint of the line segment bar (CB) .

The position vectors of the points A and B are veca and vecb respectively. P divided [AB] in the ratio 3:1, Q is mid-point of [AP]. The positin vector of Q is :

The position vectors of two points A and B are respectively 6vec(a)+2vec(b) and vec(a)-3bar(b) . If the point C divides AB internally in the ratio 3 : 2 then the position vector of C is ……………

The position vectors of the points A and B are 2vec(a)+vec(b) " and " vec(a)-3vec(b) . If the point C divides the line-segment bar(AB) externally in the ratio 1:2, then find the position vector of the point C. Show also that A is the midpoint of the line-segment bar(CB) .

The position vector of the points A and B are respectively vec(a) and vec(b) . Find the position vectors of the points which divide AB in trisection.

Let ABCD. is parallelogram.Position vector of points A,C and D are vec a,vec c and vec d respectively.If E divides line segement AB internally in the ratio 3:2 then find vector bar(DE)

If point C(-4,1) divides the line segment joining the point A(2,-2) and B in the ratio 3:5 , then the coordinates of B are