1. Determine vector and parametric equations for the line through the point (2, 1) and parallel to the line with equation (x, y) = (3, -8) + t(-3, -2). 2. Find the scalar equation of the line through the point (1, -4) and perpendicular to the line 2x + 5y - 3 = 0. 3. Determine vector, parametric, and if possible, symmetric equations of the line through A(-3, 5, -5) and B(9, 2, -1). 4. Determine vector, parametric, and if possible, symmetric equations of the line through C(2, -2, 1) and parallel to the line with parametric equations x = -1 + 5t, y = 2 - t, z = 3 -4t. 5. Determine vector, parametric, and if possible, symmetric equations of the line through D(-4, 3, 6) and parallel to the z-axis. 6. Symmetric equations of a line are _ _ > +2 _ z-4 ". Determine vector and parametric equations for the line. 2 - 3 5 7. Does the point (3, 2, -2) lie on the line through C(-1, 4, 5) and D(3, 2, 8)? 8. A plane passes through A(1, 2, 3), B(1, -1, 0) and C(2, -3, -4). Determine vector and parametric equations of the plane. 9. A plane contains the point B(-3, 2, -4) and the line with parametric equations x = 1 + 2t, y = -t, z = -2 + 3t. Determine vector and parametric equations of the plane. 10. Determine if the point (4,-2.3) lies in the plane with vector equation (x, y. z) = (2. 0. -1) + s(4, -2. 1) + t(-3, -1, 2)