HW Omega Crossword

4. __ coordinates are the extension of 2D polar coordinates to three dimensions
6. ____ measures the rotation/spin of a vector field at a point (HINT: imagine a rotating paddlewheel)
7. The ___ product of two vectors gives a vector that is orthogonal to both
8. __ coordinates are represented by the radius and 2 angles in three dimensions
10. The movie Prof. Jacobsen recommended us to watch (a film by Alfred Hitchcock)
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)
15. The ____ at any point is the direction of steepest ascent.
16. A ___ line or plane that touches a curve or curved surface at a point.
17. A ___ is fully described by a magnitude (or numerical value) alone, it has no direction!
18. ____ is the study of continuous change
19. ___ is represented by the equation F•d

1. ___ is the shape of a spring or slinky.
2. Prof. Jacobsen’s favorite shape?!
3. ____ of a vector field measures the local rate of expansion or contraction
5. The bottle Prof. Jacobsen brings to class everyday.
9. __ functions that are defined in terms of a third variable called a parameter
11. The directional derivative equals 0 when the gradient is ___ to the level curves.
13. The ___ product is a scalar value that represents how much one vector goes in the direction of another
14. A ___ has magnitude and direction
17. Two vectors are parallel if they are ____ multiples of each other