A, B have vectors ` vec a , vec b ` relative to the origin O and X, Y divide ` vec(AB)` internally and externally respectively in the ratio `2:1` . Then , `vec (XY)=`

P ,Q have position vectors vec a& vec b relative to the origin ' O^(prime)&X , Ya n d vec P Q internally and externally respectgively in the ratio 2:1 Vector vec X Y= 3/2( vec b- vec a) b. 4/3( vec a- vec b) c. 5/6( vec b- vec a) d. 4/3( vec b- vec a)

P ,Q have position vectors vec a& vec b relative to the origin ' O^(prime)&X , Ya n d vec P Q internally and externally respectgively in the ratio 2:1 Vector vec X Y= 3/2( vec b- vec a) b. 4/3( vec a- vec b) c. 5/6( vec b- vec a) d. 4/3( vec b- vec a)

P ,Q have position vectors vec a& vec b relative to the origin ' O^(prime)&X , Ya n d vec P Q internally and externally respectgively in the ratio 2:1 Vector vec X Y= 3/2( vec b- vec a) b. 4/3( vec a- vec b) c. 5/6( vec b- vec a) d. 4/3( vec b- vec a)

P ,Q have position vectors vec a& vec b relative to the origin ' O^(prime)&X , Ya n d vec P Q internally and externally respectgively in the ratio 2:1 Vector vec X Y=

P ,Q have position vectors vec a& vec b relative to the origin ' O^(prime)&X , Ya n d vec P Q internally and externally respectgively in the ratio 2:1 Vector vec X Y= a. 3/2( vec b- vec a) b. 4/3( vec a- vec b) c. 5/6( vec b- vec a) d. 4/3( vec b- vec a)

Let vec(p) and vec(q) be the position vectors of the point P and Q respectively with respect to origin O. The points R and S divide PQ internally and externally respectiely in the ratio 2:3 . If vec(OR) and vec(OS) are perpendicular, then which one of the following is correct?

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 .

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 ba n d3 vec a-2 vec b internally and externally in the ratio 2:3 .