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)`.

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)

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) .

If the position vectors of the points A(3,4),B(5,-6) and C (4,-1) are vec a , vec b , vec c respectively compute vec a+2 vec b-3 vec c

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 vector of A,B are vec a and vec b respectively.The position vector of C is (5(vec a)/(3))-vec b then

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

A and B are two points with position vectors 2vec(a)-3vec(b) and 6vec(b)-vec(a) respectively. Write the position vector of a point, which divides the line segment AB internally in the ratio 1 : 2.

Let vec(a) " and " vec(b) be the position vectors of two given points P and Q respectively. To find the position vector of the point R which divides the line segment bar(PQ) internally in the ratio m:n.

The position vectors of the points A,B,C are vec a, vec b, vec c respectively. If 3 vec a + 2 vec c= 5 vecb , are the points A,B,and C collinear? If so find AB:BC .