E 2>Hlc apmv3j~ "`! DV0v1 hvVVp!"2P2Tma!"`e#Dot products of regular old vectorsrsx Center Find FileGraphing Calculator Key Caps Note PadNow ScrapboIlNqg% DV0v1 hvVVpAAppleCD Audio PlayerAtomated Tasks CalculatorCheCB g r DV0v1 hvVVpAppleCD Audio PlayerAtomated Tasks CalculatorChe+ASuppose V and W are not (necessarily) unit vectors. What is VW?W?InterSLIP SetLJigsaw Puzzle Key CapsMacintosh HDMPW Note Pad? DV0v1 hvVVpC[` GZ ZCP !&  DV0v1 hvVVpEterSLIP SetupJigsaw Puzzl Key CapsMacintosh HD%PCB  T  DV0v1 hvVVpd? ?$?,UUUUxXHH|They're unit vectors. [[ [t? !! @@  DV0v1 hvVVpHH? I@H<wCos tX ??<?@?ਪUUUUI? q q!! # O @ DV0v1 hvVVp O  ?tpA, O$,V/|V| W/|W| = Cos t so VW = |V||W| Cos t. ?`  P?` _v4!! DV0v1 hvVVp@@ n?? ?$VW = |V||W| Cos t t < Q$HP < JX x/ H DV0v1 hvVVp!osMPWNote PadNow ScrapbookPueo4which is true for all vectors, V and W, unit or not.t.t. Sx?L$L$%%44@@ E4??J^ DV0v1 hvVVpHide  - A DV0v1 hvVVpBig formula of the section: 4 INB$ DV0v1 hv6VVpBw Puzzle Key CapsMaintosh HDMPW Note PadoCB A` DV0v1 hv VVpC[` GZ ZCP kN  DV0v1 hvVVpVo\o ~~\'mp'@@CBCP?ډ]!&A` DV0v1 hv VVpEerSLIP SetupJigsaw Puzzl Key CapsMacintosh HD%PCB   kN  DV0v1 hvVVpWo\o ~~\'mp'@@CBCB ?UUUUUUl%' DV0v1 hvVVpvI0 \X t\jCBCP?= C' DV0v1 hvVVpwH<G^ [GCBCB ?H\ DV0v1 hvVVpHideabacN \0Nyʠ P a   DV0v1 hvVVpSo what's VW? 4 N N Mon#MT EDV0v1 hv2V VpNew YorkPalatinoSymolTimes Zapf DingbatsCoCB@R &[ DV0v1 hvVVpc1HH?[CBB?5%F?5%F  DV0v1 hvVVpc2= Jd(?5<>xJ<PPCPA`?5%F?5%F2Z DV0v1 hvVVpc3\(f]g^_()`fab()cCB A`?5%F?5%F+? DV0v1 hvVVpHideX --\R-XU0X -P   DV0v1 hvVVpSo what's V/|V| W/|W|? 4F]N " DV0v1 hv4V VVlpxloAl ?߀C&BD B?zG{9N t" DV0v1 hv5V VVlpy@@@@@'H  !@!XohooCCC?\(\' DV0v1 hv VVpDc JddC][_ %* DV0v1 hv VVpFstuvwxHyCBBD  DV0v1 hv VVpGH[` XZ?CiAВ 38  DV0v1 hv VVpHGb?t???UUUUx[CIBT9  DV0v1 hv VVpK[xHH?LZ<b[ CiAВ 38J@ DV0v1 hv VVpLHH?|GCIBT9 _s DV0v1 hvVVpHide00    DV0v1 hvVVpWhat about V/|V| and W/|W|? 4?  DV0v1 hvVVpDc JddCn_>4   DV0v1 hvVVpDc JddC߬VW +0?  DV0v1 hvVVpFstuvwxHyCB5r #  DV0v1 hvVVpFstuvwxHyCB A` DV0v1 hv VVpGH[` XZ?CiAВ 38A` DV0v1 hv VVpHGb?t???UUUUx[CIBT9 !A` DV0v1 hv VVpKxHH?LZ<b[ CiAВ "kNA`  DV0v1 hv VVpxCBCiAВ?"38A` DV0v1 hv VVpLHH?|GCIBT9 #2kNA`  DV0v1 hvVVpaaCBCIBT9?|W|W#- DV0v1 hvVVpHideAHH4[ %  DV0v1 hvVVpkH,? ??P?UUUU8 CPCn_>4?&  DV0v1 hvVVpl Ht[ C߬VWCP?' 0~  DV0v1 hvVVpn'hmp'@@ cgtCpwCB CB5r?(&  DV0v1 hvVVpoR?\??H?ᤪUUUUxHHCBCB ?) ), DV0v1 hvVVpc4ACBCB[l$[l$B<\/?CiAВA`?5%F?5%F *'D DV0v1 hvVVpc5UCBCBx[l>[l>BB?CIBT9A`?5%F?5%F!+ ) DV0v1 hvVVpc6CBCB[l [l B$l)?CiAВA`?5%F?5%F",'D DV0v1 hvVVpc7CBCB[lG[lGBE?CIBT9A`?5%F?5%F#."'c6 DV0v1 hv VVpMCFaBWt -77<c7 DV0v1 hv VVpNCҞBeJ /8%*?  DV0v1 hvVVpMCWeB 9"   DV0v1 hvVVpMCʕAgV 9"=B?  DV0v1 hvVVpNCԔB}\ :#05  DV0v1 hvVVpNCraBHVl :#*  DV0v1 hv VVpyCiAВCWeB?;"   DV0v1 hv VVpzCʀBC,B7 . .A_7<?CʕAgVCiAВ?"<2B  DV0v1 hvVVpabRZclosingDXV/|V| s the unit vector pointing in the same eCIBT9CԔB}\?=#/8up  DV0v1 hvVVpac K҂ R4e.<LHHCraBHVlCIBT9?#>  DV0v1 hvVVpHide ID I0  % #"! /-BA@?:  DV0v1 hvVVpHint  4% #"! /-BA@?  DV0v1 hvVVpClean up to go through again  $0C