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 plane x-y+2z=5,3x+y+z=6

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

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 equation of the plane passes through the point (2,3,5) and parallel to the plane x-3y+z=8 .

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

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

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

Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line 5x – 25 = 14 – 7y = 35z .