[" Using "A^(-1)" ,solve the system of linear equations "x-2y=10,2x-y-z=8,-2y+z=1],[" (33) Find the equations of the line which intersects the lines "(x-1)/(2)=(y-2)/(3)],[(x+2)/(x+2)=(y-3)/(6)=(z+1)/(4)" and passes through the point "(1,1,1)" ."]

Solve the system of Linear equations x+2y+z=8 , 2x+y-z=1 , x-y+z=2

cartesian equation of the line which is perpendicular to the lines (x)/(2)=(y)/(1)=(z)/(3) and (x-3)/(-1)=(y-2)/(3)=(z+5)/(5) and passes through the point (1,2,3)

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

Find the point of intersection of the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z .

Find the equation of the line intersecting the lines (x-a)/(1)=(y)/(1)=(z-a)/(1) and (x+a)/(1)=(y)/(1)=(z+a)/(2) and parallel to the line (x-a)/(2)=(y-a)/(1)=(z-2a)/(3)

The point of intersection of lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z)/(1) is

Find the equations of the line intersecting the lines (x-a)/1=(y)/1=(z-a)/1 and (x-a)/2=y/1=(z+a)/2 and parallel to the line (x-a)/2=(y-a)/1=(z-2a)/2 .

Find the point of intersection of the lines (x-1)/(3)=(y-1)/(-1) = z+2’and (x-4)/(2)=y=(z+1)/(3) .

(i) Find the equations of the straight line passing through the point (2,3,-1) and is perpendicular to the lines : ( x-2)/(2) = (y + 1)/(1) = (z - 3)/(-3) and (x - 3)/(1) = (y + 2)/(1) = (z - 1)/(1) . (ii) Find the equation of the line which intersects the lines : (x + 2)/(1) = (y - 3)/(2) = (z + 1)/(4) and (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) Perpendicular and passes through the point (1,1,1) .

Using matrices,solve the following system of linear equations: 3x-2y+3z=8;2x+y-z=1;4x-3y+2z=4