MATH 234 Study Guide - Summer 2018, Comprehensive Midterm Notes - Trigonometric Functions, Euclidean Vector, Integral
12 Oct 2018
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See canvas (cid:1372) files (cid:1372)(cid:884)(cid:885)(cid:886) syllabrs (cid:1844)= all real numbers (cid:883)(cid:1830) (cid:1877) (cid:1877)(cid:2868) (cid:1868) (cid:1876)(cid:2868) Chapter 1 : vectors in three dimensional space. (cid:2868) (cid:1876) (cid:1877)(cid:2868) (cid:1868) (cid:1877) office hours. Textbook :(cid:884)(cid:885)(cid:886) cak package pairs of real numbers. (cid:884)(cid:1830) points on a plane are ordered (cid:1868)=(cid:4666)(cid:1876)(cid:2868),(cid:1877)(cid:2868)(cid:4667) (cid:885)(cid:1830) (cid:1827)=(cid:4666)(cid:1876)(cid:2868),(cid:1877)(cid:2868),(cid:1878)(cid:2868)(cid:4667) Points in a three dimensional space are ordered triples of real numbers. Vectors are defined in two steps: choose any two points (cid:1827),(cid:1828) (cid:4666)(cid:1827) (cid:1828)(cid:4667) (cid:1828) (cid:1829)(cid:1830) . So, any vector (after possible moving) is moving the initial point of a new (equivalent) vector is the origin. Equivalent to a vector (cid:1841)(cid:1842) . (cid:1828)=(cid:1827)(cid:1828) (cid:1827) (cid:1827)(cid:1828) . Parallel =>(cid:1827)(cid:1828) =(cid:1829)(cid:1830) ; since both vectors are, parallel to each other, they are the same. For example, if (cid:1827)(cid:1828) is any vector in a (cid:885)(cid:1830) space, we can move it so that after we finish (cid:1827)(cid:1867: (cid:1841)is the origin of the coordinate system, (cid:1842) is point, this point has coordinates (cid:4666)(cid:1876),(cid:1877),(cid:1878)(cid:4667)
