5. 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 givenby
Let R divides PQ in the ratio k: 1.
The coordinates of the point R are given by
now, as given the x coordinate of the R is 4.
So,
Hence the coordinates of R are: