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|e} % Lecture + ABck cooatinate Systems | | R- 1-D/one Vocialles 7 Variable R™ > 2-D/ two variables (x14) RA> 3-O/ thee variabhs Cx,y,2) lj} yee? Ke glare mR *—— +" "x -axis a Zz x4 Plane Xk parallel ro y= plane i) 2K pawalle) os = plane z-k pacrald| fo xy plane (4,-+) (-,+,+4) ,-,-) (-,+,-) (4,0) (++,-) oo’ L 8 octoots: ial (4,4, +4) ] (-,-,+) Plotting Points in S-space P(1,2,3) and © (-L-2,-3) Distan ce Fo coula ? 2-0 = A> Jam yayd 4-D H—~ aA | 2%" FQ-3,)* =e, =a Midgoint Fownula 3 1-D= PCa) ©@ (c,d) =e kek Lh mw Z ex" Find th standarcch equation of a splwre with hiameter end points (-\2,3) avid (5,-2,3) ls) + (gtk)™ + (2 th) *= “| Centec i> the micl pink of = diamee end points ie i ko 2. a 2 ’ ) f \ conte = (9 0, 5) \ j J (hk, 2) ru (x-2)7 °c (yre)* + (es) = re (2) i I+ tr antance i P tmantne A = fadias= ) drstance | ~ A Jorpa*eay | Ay \ (s4i)*+ (-a-2)° + (4-3) A= au lb ele = distance 2 Jes! fa a | ya eX: Finck +e center and cadiuy of th Sphee X* tyr 2 + Ax - 24+ 2%+2Z=0 x*s4x + yo 24+ 2420 == (veel) (gta TE") (teas —_ ig Serene cenis (xy + (y-1) "+ icalises el +] Jeena = C2 Ave) Yadius -2.| Nectors * Oucekisa and May nrtacke BMS 1,0,7 = Og + agg ee 2? = Sigh A= SOYA, a7 2 Ag + Rage os4 \\ oll = oh + OFT aS p(,2 a magnitude ) nee (rengt) 2 NS) ye Seolec Maltipkeation . a7 ne Given Oa>+fa,,0a,7 kes and c= Scalac (4) v4 X Ly 2,27 Oo a O + 2ecd veeter = 20,0 07 Necter properties? Yr a 3 ey a +o =bte G. CeordAloa= car do i. ettheo)l= (e+e ee 2. Codie = c(d2) pb % 2628 8, 1a+6 =s = > 4. a+(-a) =O Q. Two vedos are parallel if one — in a” ie a seakee mulliph of the othe S: cl +b) =ctar cb YO. Standarck Basiy in oN Rz<1,007 $= <0,1,07 es =SO,0ND > Unit Vectors 3 ex: Fink a unit vector be N= <2,57 yall wvil= Jar ase! = Jae unit vee = Kh = eal \ G.= ¢2,57 Ja) Jeu 
