Find the position vectors of the points which divide the join of the points `2 vec a-3 vec ba n d3 vec a-2 vec b` internally and externally in the ratio `2:3` .

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 .

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

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

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

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

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.

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.

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

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