Obtain the equation of the line through the point (1, 2, 3) and parallel to the line `x-y+2z-5=0 , 3x+y+z=-6`

Find the equation of the line through the point (3, -1, 2) and parallel to the planes x+y+2z-4=0 and 2x-3y+z+3=0

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

Find the equation of the line through the point (2, 3, 5) and parallel to the line (x - 3)/2 = (y + 1)/1 = (z + 7)/4 .

Obtain the equation of the line through the point (1, 2, -3) and perpendicular to each of the lines x+4y-3z=0=2x-5y+7 and y+3z-2=0=x+2z+5

Obtain the equation of straight lines : Passing through (-4,2) and parallel to the line 4x-3y = 10

Write theequationofthelinepassing through the point (4, —6,1) and parallel to the line x-1/1 = y+2/3 = z-1/-1 .