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 the point C divides the line segment joining the points A(4, -2, 5) and B(-2, 3, 7) externally in the ratio 8:5, then points C is

The point which divides the line segment joining the points A(0, 5) and B(5, 0) internally in the ratio 2:3 is __________

If the point C divides the line segment joining the points A(2, -1, -4) and B(3, -2, 5) externally in the ratio 3:2, then points C is

The point C divides the line joining the points A(4,5) and B(7,-1) internally in the ratio 1:2. Find the coordinates of C.

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)

The point which divides the line segment joining the points (7,-6) and (3,4) in ratio 1 : 2 internally lies in the

The point which divides the line segment joining the points (8,–9) and (2,3) in ratio 1 : 2 internally lies in the

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 .

The point which divides the line segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the

The co-ordinates of the points which divides line segment joining the point A(2,3,-1) and B(3,1,4) internally in the ratio 2:3 are