Consider tow points P and Q with positn vecfors `vec(OP)=3veca-2vecb and vec(OQ)=veca+vecb`. Find the position vector of point R which dicides the joining P and Q in the ratio 2:1: internally

Consider tow points P and Q with position vecfors vec(OP)3veca-2bvecb and vec(OQ)=veca+vecb. Find the position vector of point R which dicides the joining P and Q in the ratio 2:1:externally

Consider two points P and Q with position vectors -> O P=3 -> a-2 -> b and -> O Q= -> a+ -> b Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally.

P and Q are two points with positon vectors 3 veca - 2 vecb and veca + vecb respectively. Write the positon vector of a point R which divides the segment PQ in the ratio 2:1 extermally.

The position vector of the point which divides the join of points 2veca-3vecbandveca+vecb in the ratio 3:1, is

Find the position of R, which divides the line joining P(3vec(a)-2vec(b)) and Q(vec(a)+vec(b)) in the ratio 2 : 1 internally and

Find the position vector of a point R which divides the line joining the two points P and Q with position vectors vec OP=2vec a+vec b and vec OQ=vec a-2vec b, respectively in the ratio 1:2 internally and externally.

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

find the positio vectors of the ponts which divide the join of points 2veca-3vecb and 3veca-2vecb internally and externallyin the ratio 2:3.

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