M 427L Lecture Notes - Lecture 4: Triangle Inequality, Joule
17 Mar 2020
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Remember angle between two vectors isgiven by a b hallhbkcost. Onlyequal if one is multiple or if afb then 0 40,7. X i y a e b are orthogonalvectors if c is a vector intheplanespanned by a b then there are scalars x and 13 such that. Useinnerproduct to determine a b a c a dat bb xa. at 3a. bw. Eeaused da is called theprojection of and pb is its c along a projection along b a c 2119112 x. P the orthogonal projection of u on a is the vector p whosetip is obtained ya bydrooling a perpendicular line to a fromthetip of v and that v a. We see that pp is is the sum of p and a vector pg perpendicular a multiple of to a where p cat. 11911 1 fj hall lgj hullcost so theniultiple of a fortheprojection can find by you. 1lb all2 11all"t1lb112 2 a b hair hbk 2119111lb 000.
