Derive the formula to find the co-ordinates of a point which divide the line joining the points `A(x_1,y_1,z_1)` and `B(x_2,y_2,z_2)`internally in the ratio `m:n`.

Derive an expression for the co-ordinates of points that divides the linejoining points A(x_1,y_1,z_1) andB(x_2,y_2,z_2) internally in the ratio m:n.Hence find the co-ordinates of midpoint of AB where A=(3,2,1) and B=(7,6,5).

Find the coordinates of the mid-point of the line joining the points (x_1, y_1) and (x_2, y_2).

Find the co-ordinates of the point P which divides the line segment joining the points A ( 1, - 2 ,3 ) and B ( 3 , 4 - 5 ) internally in the ratio 2 : 3

Find the coordinates of the mid-point of the line joining the points (x_(1) , y_(1) ) and (x_(2), y_(2)) .

Find the coordinates of the point which divides the line segment joining the points A(5,-2) and B(9,6) in the ratio 3:1