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

Find the equations of the line passing through the point (1,-2,3) and parallel to the line (x-6)/(3) =(y-2)/(-4) =(z+7)/(5) Also find the vector form of this equations so obtained .

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

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

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

Find the direction cosines of the line (x+2)/(2)=(2y-7)/(6)=(5-z)/(6). Also,find the vector equation of the line through the point A(-1,2,3) and parallel to the given line.

Find the equation of the line passing through the point (1,2,3) which is parallel to the line (2x-3)/(4)=(6-y)/(3)=(7z-3)/(14)

The vector equation of the line passing through the point (-1, -1 ,2) and parallel to the line 2x - 2= 3y +1 = 6z -2 is

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

Find the equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .