MATH 32A Lecture 1: - Coordinates and Vectors
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All keyinfo is onthe cle site pleaselook overthesyllabusandemailany questions. Def coordinates are a way to namepoints intheplane or space. These describe lengths of the edges forboxes this is how we sketch. 4,32 iy xyplane and x y 2 is givenby d ab c x yz. 3 q 4 3 13 thedistancebetween p q is. Vectors are a relativewayto describe points they are a ruletellingus howtomovefrom onepoint thetail to another thehead weneed 2piecesofdata. A vector is a direction and a length. Placethetipof it atthetail ofit then tailof tnt thatof it tipisthat of it. Given a realnumber 2 can also scale thelength. It isthevectorwhose length is 121 lengthof i whosedirection is. Forthis placethetail at 00,0 if thetip is at are. Notethe c ratherthan la b c shingptatifad ab c thenthe coordinates. Howshould we interpret somethinglike 4 2,4 ourvector is describingthedirections move 1 inthe x director back 2 inthe ydirection 4 inthe z direction.
