Find the position vector of a point R which divides the line joining `A(-2,1,3)` and `B(3,5,-2)` in the ratio `2 : 1` (i) internally (ii) externally.

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

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.

Consider two points P and Q with position vectors vec(OP)=3hata-2vec(b) and vec(OQ)=vec(a)+vec(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.

Consider two points P and Q with position vectors vec(OP)=3 veca-2 vecb and vec(OQ)=veca+vecb . 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.

Consider two points P and Q with position vectors vec(OP)=3veca-2vecbandvec(OQ)=veca+vecb . Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1 , (i) intermally , and (ii) externally.

Consider two points P and Q with position vectors vec(OP)=3veca-2vecbandvec(OQ)=veca+vecb . Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1 , (i) intermally , and (ii) externally.

Find the points which divide the line segment joining A (1,-3) and B(-3,9) in the ratio 1 : 3 (i) internally and (ii) externally.

Find the points which divide the line segment joining A (1,-3) and B(-3,9) in the ratio 1 : 3 (i) internally and (ii) externally.