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MVC Quiz #2 NAME: Show all appropriate work and thinking to receive full credit. Calculator allowed. Explain briefly how you are using your calculator. #1(4 pt's) Write the parametric equations of the line that is parallel to the vector m (3, 2, 1) and goes through the point (1, 2, 2) . #2(5 pt’s) Write the equation of the plane that is parallel to the plane 3x 2 y 9 and contains the point (2, 2, 1) . #3(6 pt's) Find the parametric equations of a line that is perpendicular to the line given by x 2t 1 y t 1 and is in the plane given by 4 x 2 y z 0 . z t 3 #4(6 pt's) Determine whether there is a plane that contains the two lines x 3t y 2t 1 . If so, find the equation of this plane. If not, explain. z 4t 3 x 3t 3 y 2t 1 and z 4t 2 #5(5 pts) Determine whether the three planes given below intersect in a line or a single point. Then find the point or the parametric equations of the line. 3x 2 y 1 4 y 3z 1 2x z 1