Across
- 1. Another word for perpendicular.
- 4. A ________ in R^n is a directed line segment characterized by its magnitude and direction
- 6. An array of numbers (or vectors, or other objects). Typically m x n has m rows and n columns.
- 8. R is the set of all _______ numbers.
- 9. The ______ product of two vectors results in a scalar.
- 11. The _______ is direction of steepest increase and is orthogonal to level sets.
- 12. If we let f(x, y, z) be a function of 3 variables and let W be a region in R3. Then we may define a _______ integral of f over W.
- 13. The _______ of F at vector a measures the local rotation of the field F at vector a.
Down
- 2. This theorem relates line integrals to ordinary double integrals. In particular, we can use this theorem to compute area!
- 3. Coordinates that are parameterized by θ and r.
- 5. In _________-variable calculus, we study functions of f(x), whose graphs is y = f(x)= f(x)
- 7. coordinates on R3 that are given by (r, θ, z).
- 10. The derivative of f with respect to x that disregards all other variables.