Vector & Scalar Quantities Characteristics of a Scalar QuantityOnly has magnitudeRequires 2 things:1. A alue2. A!!ro!riate units"#. $ass: %&g'em!: 21( CS!eed: )% m!h Characteristics of a Vector Quantity*as magnitude & directionRequires + things:1. A alue2. A!!ro!riate units+. A direction,"#.Acceleration: -.. m/s2 do0n Velocity:2% m!h 1est $ore a2out VectorsA ector is re!resented on !a!er 2y an arro01. the length re!resents magnitude2. the arro0 faces the direction of motion+. a ector can 2e 3!ic&ed u!4 and moed onthe !a!er as long as the length and directionits !ointing does not change 5ra!hical Re!resentation of a Vector'he goal is to dra0 a mini version of the ectors to gie you an accurate !icture of the magnitude and direction. 'o do so6 you must:1. 7ic& a scale to re!resent the ectors. $a&e it sim!le yet a!!ro!riate.2. 8ra0 the ti! of the ector as an arro0 !ointing in the a!!ro!riate direction.+. 9se a ruler & !rotractor to dra0 arro0s for accuracy. 'he angle is al0ays measured from the hori:ontal or ertical. 9nderstanding Vector 8irections'o accurately dra0 a gien ector6 start at the second direction and moe the gien degrees to the first direction.;S" 1+ 1 +m " 1m " @m " $athematical Addition of VectorsVectors in o!!osite directionsSu2tract the 2 magnitudes6 direction is the same as the greater ector."#. @m SE2m ; >2m S $athematical Addition of VectorsVectors that meet at - df G diorF > f G i

'herefore6 you add the second ector to the o!!osite of the first ector. Su2traction of Vectors =cont.?"#. > Vector C1: % &m "astVector C2: @ &m ;orth@ &m ; =2?% &m 1 =A1?H &no0 it seems silly6 2ut trust me on this one,,, Com!onent $ethod of Vector Addition'reat each ector se!arately:1. 'o find the 3I4 com!onent6 you must:A# > Acos J2. 'o find the 3K4 com!onent6 you must:Ay > Asin J+. Re!eat ste!s 2 & + for all ectors Com!onent $ethod =cont.?@. Add all the 3I4 com!onents =R#?%. Add all the 3K4 com!onents =Ry?). 'he magnitude of the Resultant Vector isfound 2y using R#6 Ry & the 7ythagorean'heorem:RV2 > R#2 E Ry2L. 'o find direction: 'an J > Ry / R# Com!onent $ethod =cont.?"#. C1V1 > 2 m/s + +L; %@( ; of "M2 > % )L ;@( 1 of S=0hoa6 this is not so easy,?Mind: $agnitude & 8irection$agnitude >+L.+ ; 8irection > +%( S of 1