k\") l" 1"""'"\""'! " \"""" \""""' \""""\""\""\""'" \"""\"'" "'\""' "\"D\"" \""' \""""' \"'"\"" ""'\"'"\"" \""' \\"J' (3) (5 points) A unique plane is determined by a line and a point not on the line. Find an equation of the plane that contains the point Q(2, 1, 1) and the line with parametric equations $(t) = 1 + 2t, y(t) = 2 3t, 2(t) = 1 + 2t. Leave your answer in the form as + by | (:2 + d = U. (4) Consider two lines [40%) = t(1, l, 1} + (3, U, 2) and {9(3): 3(2, 1, 1) | (1, 2, 2). (a) (5 points) Show that the lines do not intersect. Such lines are called skew lines. (13) (2 points, bonus) Find the shortest distance between the lines. (5) (2 points, bonus) Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example that shows it is false. Hu-v=u-wanduxv=uchnduf0,thenv=v_v|