The plane containing the line `(x-1)/(1)=(y-2)/(2)=(z-3)/(3)` and parallel to the line `(x)/(1)=(y)/(1)=(z)/(4)` passes through the point

Find the plane containing the line (x-2)/(2)=(y-3)/(3)=(z-4)/(5) and parallel to the line (x+1)/(1)=(y-1)/(-2)=(-z+1)/(1)

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 a line parallel to the line (x-5)/(3) = (y+1)/(-2) = (z)/(1) and passes through the point (0,-1,2) .

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

Find equation of plane containing two parallel lines (x-1)/(2)=(y+1)/(-1)=(x)/(3) and (x)/(4)=(y-2)/(-2)=(z+1)/(6). Also find if the plane thus obtained contains the line (x-2)/(3)=(y-1)/(1)=(z-2)/(5) or not.