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

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.

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

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

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.

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