MATH 200 Midterm: Midterm I Exam Study Guide

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

Document Summary

11. 1: rectangular coordinates in 3-space, spheres, cylindrical surfaces. ***all homework worksheets through vector valued functions except. Formula for a sphere= (cid:1870)(cid:2870)=(cid:4666)(cid:1876) (cid:1855)(cid:4667) (cid:2870)+(cid:4666)(cid:1878) (cid:2869) (cid:1878) (cid:2868)(cid:4667) (cid:2870) (cid:2870)+(cid:4666)(cid:1878) (cid:1854)(cid:4667) (cid:2870)where the center is c(a,b,c) and the distance from any point on the (cid:2870)+(cid:4666)(cid:1877) (cid:2869) (cid:1877) (cid:2868)(cid:4667) (cid:2870)+(cid:4666)(cid:1877) Cylindrical surface: a graph (in 3 space) of an equation with 2 variables surface to the center=r projected along a 3rd variable"s axis. Midpoint between (cid:1827)(cid:4666)(cid:1876) (cid:2869),(cid:1877) (cid:2869),(cid:1878) (cid:2869)(cid:4667) and (cid:1828)(cid:4666)(cid:1876) (cid:2870),(cid:1877) (cid:2870),(cid:1878) (cid:2870)(cid:4667) is. Name: vector v or vector ab (which is not equal to vector. V=u if direction and magnitude are the same. Position is not important (scalar)(v) multiplies the elements of v by the scalar value (stretches or shrinks the vector or changes its direction by 180 degrees) ||v||= the magnitude of v (aka the length/norm of v) ( ) = a point. < > = a vector by v)