Find the equation of the plane which passes through the points `(6,2,-4) and (3,-4,1)` and is parallel to the line joining the points ` (1,0,3) and (-1,2,4)`.

Find the equation of the plane passes through the point (2,3,-4) and (1,-1,3) and parallel to x-axis.

find the equation of a plane passing through the points (2,-1,0) and (3,-4,5) and parallel to the line 2x=3y=4z

Find the equation of the line passing through the points (1,2,3) and (-1,0,4).

Find the equation of the line passing through the points (1, 2, 3) and (-1, 0, 4).

Find the equation of the plane passing through the points (2,2,-1) and (3,4,2) and parallel to the line whose direction ratios are (7,0,6)

Find the equation of a line passing through the points (-1,1) and (2,-4)

Find the vector equation of the line passing through the point A(2,-1,1) and parallel to the line joining the points B (-1,4,1) and C(1,2,2) .Also find the Cartesian equations of the line .

Show that the line joining the points (4,-1) and (-3,3) is parallel to the line joining the points (8,0) and (1,4) .

Find the equation of line passing through the points (0, 1, -2) and (3, 4, 3).