Vector and basic math, Cheat Sheet of Physics

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ences, & Scalosgu= Ea The. physical, quantity ushich Aas a mitude, but me specific 3 sellin. 4. a. mass , poses Th ical Quamtity Which Aas a, mitde as uel os dinection, aa oe ices Gort tion. eg- Fence, vellecity , displacarment , MemMentum. [Nore “4 Cuswumt us met @ vectee quamti dneugh St Aas dinection, “osnd emmagrnitude, as Jt dees mt lr vector, Laur of Qddition. A veciete is saseritated, by deawving am afmsur pxBpetional im, Semgtn te the physical quomtity. being gxapuesemted.. me A vecton, vasiable Us saphosented by am weour ever emgtishy Bo que alphabet. B The Aame abet without dhe vecteo sign sapeasents she, rmagenitude, & dhe vector amd dhe Aame alphabet wits Cap” Sign. sapsasents the inaction A dhe vetterw. Puoctice, Time = Y Sie an) = 43 eh ae (Re) og (b> Cot ( 522) = -& © e (c) tam (%) wea: (d) tam (2%) 2-4 Te add. dwe vecters , using dua our, place dhe toil GF tne Beton veciers on dhe Head of ‘the finst vector . nous Complete dhe dsdam amd dhe sasultamt vectee Js given bi f er Stasiting Auer Lal of tne Fgust vectow de the A d of tne Aeosnd vecie. we ned 3 Rg- 4 fey Ge O+8 @= adam (4 3 a a (s) Fo enample - 4f @ = Aken Newtho them, a @= trem amd & = Neth : Girs'(%) septusents am amole, whee Sim is 7% &q- tars'(e) = tam! i) = 45° ill tia 2 Reen rieRsuRe oF A pri] Bed = 2x tudiam, Sf dhe amefe (6) of an axe is empaessed, im Xadiams cher tne anc Rungtre v8 Sinmpl Len Tadgenemelwic. Halles fou amges 7 96 Sim (-@) = Sine Ges (t-8) = - Cos8 dum (m-8) = - dame Sim (n+e) = - Sime Ces (stte) = -CO am (ure) = ame NOTE-2 Sim 3H = 3 -. ‘a Cos 3F 24 ai $ Sim 57 = 4 3 5 Ces 5S = 3 a Ses) NOTE -3 Vector Sum us Commutative ie. T+B = 4a a= dat (58 lo+1S eae AS 3 43 adh #38 S__[PaRaMExocram saw oF ADOTTion |S Hest. we place tthe vecter’s duit ite tall amd comptete, the Nour dhe sasubtamt Js gene casey _Giagpral ef, The. pasalleleguaer po tthe. Symbels a: amds 18) mean NOTE HM Fee iver vectors ences rhe Fates hing >___[PonyGon saw oF ADDITION LS Heae, we joi afl the veces te bey jms @ Aree ste tail config — Wratiers amd meus the susuttamt vs givers by. dhe vectotu dsiming tak of dhe fiast vector de dhe head ef the Last vector. a. > CA sapented applications of, Taiamat. Laws) Negative, Gh, @ vectew Js a vectow Suntksed, directions. Eg - @ = Lumit 8 -@ = sumit § with dhe Aarne mmagmitude, bul withy Subtuactien, Js Same =i eas addition. ef dhe Megatives, @= +8) i. [ei= Jobe e+ 2ab Cos (ied- 8) l@1= Jo®+ -2abGx6 A yectou Araning, mag i amd Asme, Apeific disactien, Js Called, Umit Vecton. “St iS “umikless. e Vectors divided by its rritude. gis tthe umit yéctey dm the pt inections. ‘Y a Fou @- Sf @= skm A w= Sk d= @ 4A a Whenever a, vectoro JS enptussed as a Aurel chu aruituall pep- endindaty vectors, when’ we called ane vecbutee im ag Components of dhe vector. Thee, au Jnfimite ways & i tthis. Te s0Selne a vectou dmite —— pexpendicullass » imagine my ect hese. diag is the gitry vector. The sides Cf Such suctaiygle OKL, dthe mactamadass Campements. Fes dimstamce, at Thee be a foce F imdimeds at am are AerizeontaL j Practice. Time, S33 (Resolve, the it. vector of block une Gompenents 4 iy = Jost WW, mg, Sim 300 x4 50 WeoF Ces = 00x fs = 15015 a ee g Feo eg.- 10@30 oe + ~ SLafonwerTing From Puak Form To Cartesian Form |S _ Censidey a vectety R frani a emagmitude, R making ar amgle, @ witty the x-anis as seu. ~ , B =RcHod+ R sim oF & iRsime Reese Reprasert the Shows vectors inv caxtesiany foam! Ve -st+543f = 10 Cesiz0t + lo Sim 120f Sin’ = -90° +e 90 Tam = -90 de go Ces' = 0° te 180 Consider & vectetes @, as casitesian, fom & = at ray} os Ahousrs im, ig: z ay a= dazray Q» dame = ay Lx O= tan (4) Jf 0,58 positive, © = 186 + itams'(4y) 5 j ° + ($4) fa, is megane, Comvesct the J (a) 30+ 4f Lape © Cartesian de Petar foums ¢ (be) -4t+3f = s@ ws ( -3t-4F = 5@ 2az° @ 4yt-3f = 5@dan'-5.) = 5@-37 a Ca) i]