If ` A (bara) and B (barb) ` are any two points in the space
and ` R(barr)` be a point on the line segment AB
dividing it internally in the ratio m : n , then prove that :
`barr = (mbarb + nbara)/(m + n)`

Let A(bara) and B(barb) be any two points in the space and R(barr) be a point on the line segment AB dividing it internally in the ration m : n the prove that barr = (mbarb+ nbara)/(m+n) . Hence find the position vector of R which divides the line segment joining the point A(1,-2,1) and B(1,4,-2) internally in the ratio 2: 1 .

If point C ( barc) divides the segment joining the point A (bara) and B (barb) internally in the ratio m : n, then prove that barc = (mbarb + nbara)/(m+n).

If A(3,1,-2) and B(1,-3,-1) be two points find the coordinates coordinates of the point which divides the line segment AB. Internally in the ratio 1:3

If the point barP (barp) =bara+ 2barb and the point A(bara) divides seg PQ internally in the ratio 2: 3, then : Q(barq) =

The position vectors of the point which divides internally in the ratio 2:3 the join of the points 2bara-3barb and 3bara-2barb , is

Write the coordinates of the point dividing line segment toining points (2,3) and (3,4) internally in the ratio 1:5 .

Find the coordinates of the point which divides the line segment joining (-1,3) and (4,-7) internally in the ratio 3:4 .

A line segment AB is divided at point P such that PB : AB = 3:7, then the ratio of AP : PB = ________.

Write the coordinates ot the point dividing line segment joining the points (1, 5) and (-5,1) internally in the ratio 1: 4.