HW Omega Crossword

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Across
  1. 4. __ coordinates are the extension of 2D polar coordinates to three dimensions
  2. 6. ____ measures the rotation/spin of a vector field at a point (HINT: imagine a rotating paddlewheel)
  3. 7. The ___ product of two vectors gives a vector that is orthogonal to both
  4. 8. __ coordinates are represented by the radius and 2 angles in three dimensions
  5. 10. The movie Prof. Jacobsen recommended us to watch (a film by Alfred Hitchcock)
  6. 12. Point where the function has a local maximum in one direction, but a local minimum in another direction. (Hint: AKA a padded seat for the rider of a horse)
  7. 15. The ____ at any point is the direction of steepest ascent.
  8. 16. A ___ line or plane that touches a curve or curved surface at a point.
  9. 17. A ___ is fully described by a magnitude (or numerical value) alone, it has no direction!
  10. 18. ____ is the study of continuous change
  11. 19. ___ is represented by the equation F•d
Down
  1. 1. ___ is the shape of a spring or slinky.
  2. 2. Prof. Jacobsen’s favorite shape?!
  3. 3. ____ of a vector field measures the local rate of expansion or contraction
  4. 5. The bottle Prof. Jacobsen brings to class everyday.
  5. 9. __ functions that are defined in terms of a third variable called a parameter
  6. 11. The directional derivative equals 0 when the gradient is ___ to the level curves.
  7. 13. The ___ product is a scalar value that represents how much one vector goes in the direction of another
  8. 14. A ___ has magnitude and direction
  9. 17. Two vectors are parallel if they are ____ multiples of each other