Write the position vector of the point which divides the join of points with position vectors `3 vec a-2 vec b` and `2 vec a+3 vec b` in the ration `2:1` .

Find the position vector of a point which divides the join of points with position vectors vec a-2vec b and 2vec a+vec b externally in the ration 2:1.

Find the position vector of the point, which divides the join of points with position vectors 3vec(a)-2vec(b) and 2vec(a)+3vec(b) in the ratio 2 : 1.

Find the position vector of a point which divides the join of points with position vectors vec a-2 vec b and 2 vec a+ vec b externally in the ratio 2:1.

The position vector of the point which divides the join of points with position vectors vec a+vec b and 2vec a-vec b inthe ratio 1: 2 is

The position vector of the point which divides the line segment joining the points with position vectors 2 vec(a) = 3b and vec(a) + vec(b) in the ratio 3:1 is

The position vector of the point which divides the join of points 2 vec a - 3 vec b and vec a + vec b in the ratio 3:1 is

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2 vec a + vec b) and (vec a - 3 vec b) externally in the ratio 1 :2. Also, show that P is the midpoint of the line segment RQ.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2\ vec a+ vec b) and ( vec a-\ 3 vec b) respectively, externally in the ratio 1:2.Also, show that P is the mid-point of the line segment R Qdot

The position vector of the point which divides the join of points 2 vec a -3 vec b and vec a+vec b in the ratio 3: 1 is

Find the position vectors of the points which divide the join of the points 2 vec a-3 vec b a n d 3 vec a-2 vec b internally and externally in the ratio 2:3 .