Find the equations to the line drawn parallel to 1/4 x=y=z`,so as to meet the line `5x-6=4y + 3 = z` and `2x-4=3y + 5 = z.`

Find the equation of the line through point (1,2,3) and parallel to line x-y+2z=5,3x+y+z=6 .

Find the vector equation of the line parallel to the line : (x -1)/(5) = (3 -y)/(2) = (z + 1)/(4)

Find the equation to the straight line drawn from the origin to intersect the lines 3x+2y+4z-5=0=2x-3y+4z+1 and 2x-4y+z+6-0=3x-4y+z

Find the equation of the line through point (1,2,3) and parallel to line x-y+2z=5,3x+y+z=6

Find the equations of the line through the point (1,2,4) and parallel to the line 3x+2y-z=4, x-2y-2z=5.

Find the equation of the line through point (1,2,3) and parallel to line x-y+2z5,3x+y+z=6 .

Find the equation of the plane passing through the line of intersection of the planes : 2x + y - z = 3 and 5x - 3y + 4z = 9 and parallel to the line (x -1)/(2) = (y - 3)/(4) = (z -5)/(5) .

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

Find the equation of the line through point (1,2,3) and parallel to plane x-y+2z=5,3x+y+z=6