Please only answer 1,3,5, and 9. Provide answers in full.

Determine vector, parametric and, if possible, symmetric equations for the line through the point (2, 1, 3) with direction vector m = (4, 2, 5). 2. Determine vector, parametric and, if possible, symmetric equations for the line through the point (-2, 2, 5) and parallel to the line through the points A(2, -3, 4) and B(3, 2, -1). 3. Determine vector and parametric equations for the z-axis. 4. Determine vector and parametric equations for the line with symmetric equations x - 2 y+5 Z-1 3 -2 4 Determine symmetric equations for the line 7 = (-2, 3, 0) + t(-1, 1, 2). 6. Show that the lines -2 _ y+3 _z-1 and x+2_y-1 z+6 are parallel. -2 4 6 4 -8 -12 7. Determine the coordinates of three non-trivial points on the line F = (1, -2, 3) + t(2, -1, 4). Show your work. 8. Determine if the point A(-2, 1, 2) lies on the line F = (1, 3, 0) + t(-2, 1, 1). 9 Determine if the point (-3, 2, -2) lies on the line with parametric equations x = 1 - 2t, y = 4 - t, z = 2 + 3t