Find the intersection of the line joining the points (1, –2,–1) and (2, 3, 1) with the plane through the points (2, 1, –3), (4, –1, 2) and (3, 0, 1).

A line joining the points (1,1,1) and (2,2,2) intersect the plane x+y+z=9 at the point

The line joining the points (4, 1, 2) and (5, p, 0) is parallel to the lne joining the points (2, 1, 1) and (3, 3, -1), then p =

The projection of the line segment joining the points (1, -1, 3) and (2, -4, 11) on the line joining the points (-1, 2, 3) and (3, -2, 10) , is ……

Find the coordinates of the point where the line through the points (3, – 4, – 5) and (2, – 3, 1), crosses the plane determined by the points (1, 2, 3), (4, 2, – 3) and (0, 4, 3).

find the point of intersection of the line through (1,3,-2) and (3,4,1) with the plane x-2y+4z=-1 .