Match the following vector fields with the verbal descriptions of the level curves or level surfaces to which they are perpendicular by putting the letter of the verbal description to the left of the number of the vector field. 1. F(x, y, 2) = xi+ yj - k 2. F(x, y, z) = 21 + j+ k 3. F(x, y, z) = xi + yj + zk 4. F(x, y) = xi + yj 5. F(x,y) = xi - yj 6. F(x, y) = yi + xj 7. F(x, y) = 2xi + yj 8. F(x, y) = -yi + xj 9. F(x, y) = 21 + j 10. F(r, y, z) = xi + yj - zk 11. F(x, y, 2) = 2xi + yj + zk A. ellipses B. ellipsoids C. hyperboloids D. spheres E. paraboloids F. circles G. lines H. planes I. hyperbolas Hint: Remember that the gradient of a function is perpendicular to the function's level sets. So for a given vector field F, if you can find a function f such that Vf = F, then F will be perpendicular to the level sets of f