5

< 8 # J 2222 J 3 W 0 5 1 1 L W 8 3 L H [ U 1 L 1 V H [ 1 1 |1 L...

Question

< 8 # J 2222 J 3 W 0 5 1 1 L W 8 3 L H [ U 1 L 1 V H [ 1 1 |1 L

< 8 # J 2222 J 3 W 0 5 1 1 L W 8 3 L H [ U 1 L 1 V H [ 1 1 |1 L



Answers

$\mathbf{v}_{1}=\left(\frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \frac{1}{2}\right), \quad \mathbf{v}_{2}=\left(\frac{1}{2}, \frac{1}{2},-\frac{1}{2},-\frac{1}{2}\right)$ $\mathbf{v}_{3}=\left(\frac{1}{2},-\frac{1}{2}, \frac{1}{2},-\frac{1}{2}\right)$

In the problem we have 56. And this is yeah it is gen X get works. Get three X. Get your necks. It's two weeks is tricks plus if one X after works three X gen X G networks. GTX H one X. HdX history X plus. If you're next afterwards after the X. And the one x. Networks G three X H one X H two x. and three x. No further. We have fds a. And this equals two. If one yeah. Have to wear after a year. Do you want to G two A. Gayatri? H one A. It's too good. Is three. Okay. And these are reputed To two times more studies if one A. Have to A F three given a and geeta, Geeta A 20 H two A. It was today glass if one after where have today do you want to? They were the tree H one A H two A is three. Now this equals to zero plus zero plus zero which is equal to zero. Since F R A Is equal to zero. G R A is equal to H R A. Is I mean this equals to 04. All the times that is if R0 gr hr is also zero For Article 1, 2 and three. So we have this as the answer to the problem

In this problem. We asked our ass to find the center of mass of this two dimensional system with the masses. 2 8 to 1 and four in the positions. Negative three negative. 100 And negative one, too. In order to find the center of mass, we first need to calculate the center mass in the ex direction, which we will do by calculating the moment in the UAE direction divided by the total mass. Once you've done that, we will calculate the, um, center of mass in the wind direction. Just calculate the moment in the ex direction of over the center of mess. Okay, So calculating Expert, um, the moment of wise calculating by multiplying the masses by the X coordinates. So we have eight times negative. Three plus one time, zero plus four times negative. One all over. The total mass, which is given by eight plus one is nine plus four gives us 13 doing some arithmetic. We can find out that eight times negative three is negative. 24 0 minus forgives us negative. 28 over 13. Now, to find the center of mass in the UAE direction, we're going to take the moment of X, which is the masses times there. Why Coordinates? So we're going to have eight times negative. One plus one time, zero plus four times two all over the total mass, which is still 13 here. Only two are particularly. Get negative 80 plus h, which gives us zero over 13 for our center of mass. Explore why BAR is given by the coordinate point. Negative 28 over 13 from a zero.

B plus three Over W -1 equals one half. And we're solving for W. So I'm going to cross multiply. So I get W minus one equals two times the plus three. So then you cross multiply when you have two fractions equaling each other with an equal sign in between Now I'm going to distribute. So I have to the plus six equals w minus one. I want to get the W by itself, so it's being subtracted are ones being subtracted from it, so I'm going to add one and we have two V plus seven that cancels and we have W W all by itself.

Okay, So today I'm gonna be showing you guys how to use the dot product to solve problems like this. So the problem, um, is usually given vectors to find three times w and V. Times Week. So the first thing we wanted you to want to do is to find the doctor permit. So the Doc products says that if you have two vectors, will call it a and B Ah, and you're multiplying them by each other, just like with Vivian W you're gonna have equal to a one multiplied by be one plus a two multiplied bye Be too. And this can continue on and on. So plus a three beat Lee plus a four before it all depends on the number variables you have in the equation in the, um, the definitions of the vectors. So in this case, we have only two variables. So if you look at V and W, we have I and J for both of them. So we're gonna have one, um, a definition of a dot product similar to this one. So you might be wondering what then is a one and B one and in the face more defining in terms of e and W. What's V one would still be one? So the first thing we want to dio is let's write this stop product in terms of Ian W So we're gonna have v times w equal Thio V one w on plus V two w two. Okay, So, back to that question. What is V one? What is W one? What's V to what's w too? So let's look at V. So the one is gonna be the first number in front of the first variable. So we have negative eight. I that is gonna be RV one. So negative eight. That's gonna be our V one. And when we're looking at what V two is, it's gonna be the next value. So negative three. And it's really important not to forget that negative sign. So that's gonna be V two them. We're defining it with W. We're gonna do the same. Thanks. And negative 10 is gonna be w one, and negative five is gonna be w two. So now we have those values that we need and we can plug him in so same thing the times w gonna be equal to V one. which we said was negative eight multiplied by W one, which is negative term plus I ve to which is negative three times W two, which is negative five. So if we multiply these out, we're going to get the Times w to equal negative eight times negative term and that negative signs gonna cancel out. So we're gonna have a positive value, and it's gonna be eight times 10 which is 80 plus. So we're gonna do the same thing, and we have two negatives again. So these the negative is gonna cancel out, and you're gonna be left with a positive value. So three times 5 15 And when you add those together, you're gonna get 95. Okay, Now, the second part of the problem says, What's the toms V? So we're going to do the same thing. We're gonna set up a definition of the dot product in terms of v times Be so it's a lot simpler than you think. That's not gonna be some crazy change. You're gonna do the same thing our first, our first vectors. We so v one and our second vector is vey as well. So it's gonna be V one times V one plus me too. Times be too. And we're gonna then put those values in Soviet times V is equal Thio Negative eight times negative. Eight plus the two times we too, which is gonna be negative three times negative. Three So and then all we have to do now is multiply them and add them together. So negative eight times negative. Eight of the night gives you they're gonna cancel out and you're gonna be left with eight times eight, which is 64 and same thing for the next part. Negative. Three times negative. Three negatives were gonna cancel out three times three is nine. So 64 plus nine is gonna get you 73.


Similar Solved Questions

5 answers
D0 46) |x - 5| + 12 < -7
D0 46) |x - 5| + 12 < -7...
5 answers
AMet (1 mM)Control10410410310311.0%%98 LB 40102102101 10' (%) 30 6.11% 7.36% 100 100 rate ool 101 102 103 104 ool 101 102 103 104 20 PI Met (10 mM) Met (20 mM) Apoptotic 104 104 10 103 10313.1%%8'0z102102Control mM) mM) mM) Met 3 29 ` Met Met 10110'10.1% 6.96% 109 109 100 101 102 103 104 100 101 102 103 104Annexin V
A Met (1 mM) Control 104 104 103 103 11.0% %98 L B 40 102 102 101 10' (%) 30 6.11% 7.36% 100 100 rate ool 101 102 103 104 ool 101 102 103 104 20 PI Met (10 mM) Met (20 mM) Apoptotic 104 104 10 103 103 13.1% %8'0z 102 102 Control mM) mM) mM) Met 3 29 ` Met Met 101 10' 10.1% 6.96% 10...
5 answers
FIGURE P1A39(C14p39) 29.00 object hangs equiiunum Irom Strino distance (FlO . PI4 39a) . (a) Determine the TensionIcnaci sttlngJncar mass density0.0040 kalm; The string Wrapped arounolight; frictionless pullevs uat are separated by theSubmn AnswerTries 0/10what frequency must the strlng between the pulleys vibrate Submil AnSMNUM Tries 0/10orderthe standing-wave dattem shownAigure P14.39b?
FIGURE P1A39 (C14p39) 29.00 object hangs equiiunum Irom Strino distance (FlO . PI4 39a) . (a) Determine the Tension Icnaci sttlng Jncar mass density 0.0040 kalm; The string Wrapped arouno light; frictionless pullevs uat are separated by the Submn Answer Tries 0/10 what frequency must the strlng betw...
5 answers
Ezt 0 <t<2 (o t <0 2 <t<4 let f(t) = t 0 <t<t; 9) = ~2t 4 <t<5 sin(t) T < t 5 < t(a) Write each function in terms of the unit step function (b) Plot each function (c) Find the Laplace transform of f(t) and g(t) Find the inverse Laplace transform of the following functions:(a) (b)(c) (+1)+1
ezt 0 <t<2 (o t <0 2 <t<4 let f(t) = t 0 <t<t; 9) = ~2t 4 <t<5 sin(t) T < t 5 < t (a) Write each function in terms of the unit step function (b) Plot each function (c) Find the Laplace transform of f(t) and g(t) Find the inverse Laplace transform of the following fun...
4 answers
Inox3pj43 UOQnquIS!p [PQUIQUIq 8 JAR4 I" nultoilo *4*3u 4804405 shmsueuopS q III JeYp Jqunu J4 JOJ uopepadxa 341 S! 1B4M pooejda1 Si1 puE papjojal S! Jaqunu 51! pue wopuBJ Je pawaps S! I[eq V "xoq & pooejd € pue 8 *s *€ *z [pajaqunu SIjeq XIS JABY nOx"popaou J! "saoepd [eUpap OM} 01 SJJMSUE punox "Sued [[e JQJ YOM Jnof MOYS 8102 '69E1 IVLSMHIVW
Inox3pj43 UOQnquIS!p [PQUIQUIq 8 JAR4 I" nultoilo *4*3u 4804405 shmsue uopS q III JeYp Jqunu J4 JOJ uopepadxa 341 S! 1B4M pooejda1 Si1 puE papjojal S! Jaqunu 51! pue wopuBJ Je pawaps S! I[eq V "xoq & pooejd € pue 8 *s *€ *z [pajaqunu SIjeq XIS JABY nOx "popaou J! &quo...
5 answers
QUESTION 29PolneIf the police have suspects, how many different ways can they select 5 for lineup based on height? (Type answer whole number )
QUESTION 29 Polne If the police have suspects, how many different ways can they select 5 for lineup based on height? (Type answer whole number )...
5 answers
Pant BAt 25 C the reaclion from Part A has composition as shown in the table belowPressure (atm)SubstanceCzHz(g) 4.15 Hz(g) 4.95 CHs(g) 5 25*10WNhal the fE @ energy change; AG kilojoules for the reaction under [hese conditions Exprtess your lea A numerically In kilojoules.Vicw Available Hitt(s)G0e(159.1476896SaMre AaIncorrect; Try Again attempts remaining
Pant B At 25 C the reaclion from Part A has composition as shown in the table below Pressure (atm) Substance CzHz(g) 4.15 Hz(g) 4.95 CHs(g) 5 25*10 WNhal the fE @ energy change; AG kilojoules for the reaction under [hese conditions Exprtess your lea A numerically In kilojoules. Vicw Available Hitt(s...
5 answers
Use tne given teasidie egion determined constraint Inequalties objective function (if they exist). (If an answer does not exist, enter DNE:maximumtne givenIio. 3)maximumminimumNeed Holp?endl
Use tne given teasidie egion determined constraint Inequalties objective function (if they exist). (If an answer does not exist, enter DNE: maximum tne given Iio. 3) maximum minimum Need Holp? endl...
5 answers
Whal type of titration represented by lhe following Image?14.010.0Volumie of acid addedStrong = Acld = strong buseWeak acid Wcak bateStong acid wejk baseWezk Jid strorg hase
Whal type of titration represented by lhe following Image? 14.0 1 0.0 Volumie of acid added Strong = Acld = strong buse Weak acid Wcak bate Stong acid wejk base Wezk Jid strorg hase...
5 answers
Consider the ionic bonds between $mathrm{Na}^{+}$ ions and $underline{mathrm{Cl}}^{-}$ ions in $mathrm{NaCl}(mathrm{s}) .$ Why must energy be added to break these bonds (in other words, what is the added energy used for)?
Consider the ionic bonds between $mathrm{Na}^{+}$ ions and $underline{mathrm{Cl}}^{-}$ ions in $mathrm{NaCl}(mathrm{s}) .$ Why must energy be added to break these bonds (in other words, what is the added energy used for)?...
5 answers
Point) Write the Maclaurin serles for f(r) 3cos(3r" ) as Cer" Find Ine following coelticlentsNote: You can earn partal credt on nz DrodienPrevicw My AnswersSubmi AnswersYou have allempied this problem tmies You have unlmited atempts femainingEmail insuuctor
point) Write the Maclaurin serles for f(r) 3cos(3r" ) as Cer" Find Ine following coelticlents Note: You can earn partal credt on nz Drodien Previcw My Answers Submi Answers You have allempied this problem tmies You have unlmited atempts femaining Email insuuctor...
2 answers
Point) Find the vector of stable probabilities for the Markov chain whose transition matrix is0.3 0.7 0.2 0.8 0.2 0.8W =
point) Find the vector of stable probabilities for the Markov chain whose transition matrix is 0.3 0.7 0.2 0.8 0.2 0.8 W =...
5 answers
Evaluate the double integral [I.V+++1 dA where D is quarter disk o center 0(0.0) aud of radius 2 What is the value of this integral O the other three quarters of the disc D. Justily YOlr answer.
Evaluate the double integral [I.V+++1 dA where D is quarter disk o center 0(0.0) aud of radius 2 What is the value of this integral O the other three quarters of the disc D. Justily YOlr answer....
5 answers
Suni USc (4uEulci &| mnictuiconahidce lacc lirurc bc#nulukalintinac clcclcd Jurx eAAnd eninieda Ilc eherebuadletvt uumimm4dornMA0e~If Vight with warclenuth o/ SQU ntn tuls thc plak < perpen dicularly tu the Ic? plale snat JeR Wncink ol tlic Inletlaence (rnue&betclio {ion"EinlJLI whi Lc nnecWa ccontacl cunstruchttDucutstoftkhe first constructjs € Fand Calculale thelocnion
Suni USc (4uEulci &| mnictuiconahidce lacc lirurc bc#nulukalintinac clcclcd Jurx eAAnd eninieda Ilc eherebuadletvt uumimm 4dorn M A0e ~If Vight with warclenuth o/ SQU ntn tuls thc plak < perpen dicularly tu the Ic? plale snat JeR Wncink ol tlic Inletlaence (rnue&betclio {ion" EinlJLI...
5 answers
Problem [20] Suppose that f € L'(R) prove thatIf(oz) f(z) du(z) - 0 as 6 > 1Here and in what follows / is the standard Lebesque measure.
Problem [20] Suppose that f € L'(R) prove that If(oz) f(z) du(z) - 0 as 6 > 1 Here and in what follows / is the standard Lebesque measure....
5 answers
For the polymeric substances nylon and Dacron, sketch representations of the repeating unit in each.
For the polymeric substances nylon and Dacron, sketch representations of the repeating unit in each....
3 answers
Emnnlidanuan Haanan crotholmWramuneEeentnai TefnaJnm pbabuty Ihal n Eamplo MEngrelort Round lo lour doctnolpica 05 needed
emnnlidanuan Haanan crotholm Wramune Eeentnai Tefna Jnm pbabuty Ihal n Eamplo MEngrelort Round lo lour doctnolpica 05 needed...

-- 4.835893--