Find the Vector and Cartesian equation of the plane containing the line `(x-2)/2=(y-2)/3=(z-1)/3` and parallel to the line `(x+1)/3=(y-1)/2=(z+1)/1`

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)

Find the vector and cartesian equations of the plane containing the line (x-2)/(2)=(y-2)/(3)=(z-1)/(-2) and passing through the point (-1, 1,-1).

The equation of the plane containing line (x-1)/(3)=(y+6)/(4)=(z+1)/(2) and parallel to the line (x-2)/(2)=(y-1)/(-3)=(z+4)/(5) is

Find the vector and cartesian equations of the plane passing through the points A(1, -2, 3) and B(-1,2,-1) and is parallel to the line (x-2)/(2)=(y+1)/(3)=(z-1)/(4) .

Find the vector and cartesian equation of the plane passing through the point (1, 3, 2) and parallel to the lines * (x+1)/(2)=(y+2)/(-1)=(z+3)/(3) and (x-2)/(1)=(y+1)/(2)=(z+2)/(2) .

Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(z-3)/2 and perpendicular to the plane 2x - y + 2z -3= 0.

Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines. (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x)/(-2)=(y)/(2)=(z)/(5)

(i) Find the vector and cartesian equation of the line passing through the point (1,2,-4) and perpendicular to the two lines : (x - 8)/(3) = (y + 19)/(-16) = (z - 10)/(7) and (x - 15)/(3) = (y - 19)/(8) = (z - 5)/(-5) . (ii) Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicular to the lines : (x -1)/(1) = (y -2)/(2) = (z - 3)/(3) and (x)/(-3) = (y)/(2) = (z)/(5) .

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is