MATH 200 Study Guide - Final Guide: Cylindrical Coordinate System, Unit Vector, Multiple Integral

• School: Drexel University
• Department: Mathematics
• Course: MATH 200
• Professor: unknown

Document Summary

11. 1: rectangular coordinates in 3-space, spheres, cylindrical surfaces. Ch 14. 2: double integrals over general regions. 14. 6: triple integrals in cylindrical and spherical coordinates. Dot products v u ( + w = u v + u w u u = | k. (i) u v = v u. ***two vectors are orthogonal/perpendicular if their dot product equals 0. |u|| ku: v = , v = u ( kv) (i) u x v = -(v x u) (ii) u x (v+w) = u x v + u x w. (iii) (u+v) x w = u x w + v x w. (iv) k(u x v) = (ku) x v = u x (kv) If u and v are vectors in 3 space then. (ii) u ( v ( u x v) u x v) Unit vectors: i x j=k, j x k=i, k x i=j. All the same as regular derivatives except the multiplication rule.