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)) .

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

P is a point on the line segment joining the points (3, 2, -1) and (6, 2,-2). If x co-ordinates of P is 5, then its y co-ordinate is

Find the co-ordinates of the points of trisection of the line segment joining the points (3,- 3) and (6, 9).

Find the coordinates of the points which trisect the line segment joining the points P(4,2,-6) and Q(10,-16,6).

Plot the points P(1,0),Q(4,0), and S(1,3). Find the coordinates of the point R such that PQRS is a square.

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

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 coordinates of the points which trisect the line segment joining the points P (4, 2,-6) and Q (10,-16, 6).