The position vectors of points A and B are `vec a` and `vec b` respectively.If P divides AB in `3 : 1` internally &Q is midpoint of AP then point vector of point Q is:

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 two points A and B are 3veca+2vecb and 2veca-vecb respectively. Find the vector vec(AB)

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) .

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

bara,barb are position vectors of points A and B. If P divides AB in the ratio 3:1 and Q is the mid-point of AP, then position vectors of Q will be

If vec a=4hat i-3hat j and vec b=-2hat i+5hat j are the position vectors of the points A and B respectively; find the points A and B middle point of the line-segment vec AB; (ii) the position vectors of the points of trisection of the line-segment vec AB

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 .