P is the point on line segment AB joining A(3, 4, -5) and B(-2, 1, 4). If y co-ordinate of P is 2 then find z co-ordinate.

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

Find the ratio in which the line segment joining A(1,-5) and B(-4, 5) is divided by the x-axis . Also find the coordinates of the point of division.

A point R with x-coordinate 4 lies on the line segment joining the points P(2, -3, 4) and Q(8, 0, 10). Find the coordinates of the point R.

If point P divided line segment joining points A(x_1,y_1,z_1) and B(x_2,y_2,z_2) in ratio k : 1 then co - ordinates on P.

If vec(PQ)=3hati+2hatj-hatk and the co-ordinates of P is (1, -1, 2) then find the co-ordinates of Q.

If the midpoint of the line segment joining A((x)/(2),(y + 1)/(2)) and B(x + 1, y - 3) is c(5, - 2) find x and y

In which ratio XY plane divides line segment joining points (2, 4, -3) and (-3, 5, 4).

If the midpoint of the line segment joining (3,4) and (k,7) is (x,y) and 2x + 2y + 1 = 0 , find the value of k.

Find co-ordinates of the point which divides line segment joining points (2, -1, 4) and (4, 3, 2) in ratio 2 : 3 Internally.