1. Determine vector and parametric equations for the plane containing the point Po(1, 2, -3) and having direction vectors 5 - (4, -2, 5) and _ = (-3, 5, -5). 2. A plane contains the points A(-2, 1, 4), B(2, -1, -3) and C(-5, 2, 3). Determine vector and parametric equations for the plane. 3. Determine vector and parametric equations for the plane containing the point Po(2, 3, -1) and the line with equation (x, y, z) - (3,0.2) + u (2,1, 1), where u is a parameter. 4. The vector equation of a plane is F = (-2,0,1) + s(-4,2,1) + t(1,-1,2). Determine if the point (-4, 0, 6) lies in the plane. Show your work. 5. Determine vector and parametric equations for the plane containing the point A(2, -3, 1) and parallel to the plane with equation (x, y. z) = (2, 1, -3) + s(8, 2, -1) + t(3, -2, 4). Show your work. 6. Determine vector and parametric equations for the plane through the point P(0, -2, 0) and parallel to the xy- plane. Show your work.7. Does the line with equation (x, y, z) = (5, -4, 6) + u(1,4,-1) lie in the plane with equation (x, y, z) = (3, 0, 2) + s(1,1,-1) + t(2, -1, 1)? Justify your answer algebraically. Rubric