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1. Determine vector and parametric equations for the plane containing the point Po(1, -2, 3) and having direction vectors a = (4, -2, 5) and } = (-3, 3, 7). 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 , = (-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(5, 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