If the x - coordinate of a point P on the line joining points Q(2,2,1) and R(5,1,-2) is 4, then its z-coordinate is

The x, co-ordinate of a point on the line joining the points Q (2, 2, 1) and R (5, 1, - 2) is 4. Find its z-co-ordinate

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

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. [Hint Suppose R divides PQ in the ratio k :1. The coordinates of the point R are given by ((8k+2)/(k+1), (-3)/(k+1), (10k+4)/(k+1)) .

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

Find the coordinates of the point which divides the line segment joining the points (- 2, 3, 5) and (1,-4, 6) in the ratio (i) 2 : 3 internally, (ii) 2 : 3 externally.

Find the distance of the point (1,2,3) from the line joining the points (-1,2,5) and (2,3,4).

Find the co-ordinates of the point where the line joining the points (1,-2,3) and (2,-1,5) cuts the plane x-2y+3z=19 . Hence, find the distance of this point from the point (5,4,1).

Find the coordinates of the point which divides the line segment joining ihe points (4,-3) and (8, 5) in the ratio 3 : 1 internally.

Find the coordinates of that point when the line passing through two points (4, 2, 1) and (5, 4, 3) crosses XY plane.