If `A(a,2)` and `B(b,3)` then x-axis divides `bar(AB)` in the ratio

The points O, A, B, X and Y are such that bar(OA)=bar(a), bar(OB)=bar(b), bar(OX)=3bar(a) and bar(OY)=3bar(b)," find "bar(BX) and bar(AY) in terms of bar(a) and bar(b) . Further if the point p divides bar(AY) in the ratio 1 : 3 then express bar(BP) interms of bar(a) and bar(b) .

A line AB meets the x-axis at A and the y-axis at B. P(4,-1) divides AB in the ratio 1:2 (i) Write down the co-ordinates of A and B. (ii)find the equation of the line through p and perpendicular to AB

If the line segment joining the point A(3,4) and B(14,3) meets the X-axis at P, then the ratio in which P divides the segment AB is......

The position vectors of two points A and B are respectively 6vec(a)+2vec(b) and vec(a)-3bar(b) . If the point C divides AB internally in the ratio 3 : 2 then the position vector of C is ……………

Find the ratio in which the line segment joining the points A(3, -3) and B(-2, 7) is divided by x-axis. Also, find the point of division.

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is