1. Determine thevector andCartesian equations of the plane that contains the line (x,y,z) = (1, -2, 3) +t(4, 3, -5),t , and is parallel to the line (x,y,z) = (1, 0, 9) +s(3, -2, -8), s . (6 marks)

1. Verify your Cartesian equation from Question 1 of the Knowledge section by proving that the line

(x,y,z) = (1, -2, 3) +t(4, 3, -5),t , does indeed lie on the plane with your Cartesian equation.