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

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 .

Find the coordinates of the point which divides the line joining the points (1,6) and (4,3) in the ratio 1:2 .

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

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).