Find the co-ordiantes of the point which is three fifth of the way from (2,4,4) to (2,1,0).

Find the coordinates of the point which is three fifth of the way (3,4,5) to (-2,-1,0).

Find the coordinates of the point which divides the join of the points (2,-1,3) and (4,3,1) in the ratio 3:4 internally.

Find the co-ordinates of the points, which divide the join of the points (1, -2, 3) and (3, 4, -5) in the ratio 2 : 3 internally.

Find the co-ordinates of the points, which divide the join of the points (1, -2, 3) and (3, 4, -5) in the ratio 2 : 3 externally.

Find the co-ordinates of the point R, which divides the join of P (0, 0, 0) and Q (4, -1, -2) in the ratio 1 : 2 externally and verify that P is the mid-point of [RQ].

Find the co-ordinates of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ratio. 2 : 3 Internally

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

Find the co-ordinates of the point, which divides the join of (-2, 3, 5) and (1, - 4, - 6) in the ratio 2 : 3 internally.

Find the co-ordinates of the point, which divides the join of (-2, 3, 5) and (1, - 4, - 6) in the ratio 2 : 3 externally.

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).