repeat-exercise-25-with-mathbfv_1leftbeginarrayr1-2-4endarrayright-mathbfv_2leftbeginarrayr8-2-5enda

Question

Repeat Exercise 25 with $\mathbf{v}_{1}=\left[\begin{array}{r}{1} \ {2} \ {-4}\end{array}ight], \mathbf{v}_{2}=\left[\begin{array}{r}{8} \ {2} \ {-5}\end{array}ight]$ $\mathbf{v}_{3}=\left[\begin{array}{r}{3} \ {10} \ {-2}\end{array}ight], \mathbf{a}=\left[\begin{array}{l}{0} \ {0} \ {8}\end{array}ight],$ and $\mathbf{b}=\left[\begin{array}{r}{.9} \ {2.0} \ {-3.7}\end{array}ight]$

Lucía Guerrero · Accepted Answer

we&#x27;ll start by considering a general form of identifying combination. Off the victories Fee one for two on DFI tree. We&#x27;re going to set this to be equal to a plus TV, which is a form of the points on the Given Ray. Now we can rewrite this expression. See, two times 15 minus V one plus e 3 10 ft, three minus. V one, minus teeth. Hymns. Fee on this is gonna be equal to a minus 41. So with the victory is given of et minus, we won 1/7 0 minus one. Feed three minus 31 is to a to, uh, minus fee. ISS minus 0.9, minus two and 3.7 on a minus. 51 is minus one minus two and 12. So now we want to find citizen three and t that satisfied this equation on? We can do that by reducing the following augmented matrix minus one. We understood. Well, Andi, once we reduce, we find the following sooner. 0.53 From here, we can read that. See? One is gonna be one minus 0.1 minus 0.5. That is 3.4 on this is because he to issue 0.1 C three issue 30.5 on T tops. T is equal to three. Do it. So now, with these values, we can go back to the first expression we had on board. We conclude that the point of intersection has is to ways off representing it, which is your 0.4 times 31 plus your 310.132 plus your 0.53 on also a plus three v this&#x27;ll is the victor 2.76 on minus 3.1. Now we can see that all of the coefficients in this ah fine combination are positive. So, yeah, all these coefficients are known as a very centric coordinates, so all of them are positive on. This means that the point of intersection is inside off the triangle given by the victories Fee one video, be three

James Chok · Answer

Okay, so we want to find our hyper claim that separates p between the one return B three. So when the graft these points in this graph we&#x27;ve noticed at the side of the tribal closest to pee is this be three months being one. So we want to find a perpendicular we want. We want to find the vector perpendicular to the B three miles. Be one line. So to do that, we go be three Whoa, Yeah, B three minds by V. One is equal to four month&#x27;s one gives you three for my security too. So then the line have been declared to this line B three Maestro V one is it 23 and one pass by two and two, which is equal to zero. So solving for in one you have in one is it going to minus two and shoot over three? So then we said n two is equal to three and n one is equal to minus two. So a perpendicular victor is in mine institute and three again. Now a linear functional then is very simply as a function off exper is equal to minus two x one plus by three x two. So now what? What this equation governs is governed lines which go in this direction. So maybe I was brought out government line that goes in this direction parallel to V one and V two. So what we want to serve you wanna be free. So what we want to do is that we want to find which of these lions are possible to fit between P and B three. So what we do is we substitute F O V one and we find that his mind is to test was tough to tell. No one is mice too, just three times to give you six. So that&#x27;s four and you also find out that the two is also equal working status works that minus two times but five is 10 plus three times one appointment operation. It&#x27;s like this so as a function of these three because the fees on this line is equal to minus two times for which admires eight plus three times, for which is three times for which is 12. So that&#x27;s equal to four and F. O. P. Is equal to two times my minus two is minus four plus St Century which is nine. So this is equal to buy. So what this tells us is that to be on this exact line, we need D to be beautiful. And then to be on this exact like to be on this exact line that passed Point p. You needed to be five so d is able to buy. And to pass along this line, you need D to be full, so it should be anywhere in between, or you simply need is you need for to be less than the less than five also in light that there&#x27;s no there&#x27;s no equality because we want them to be in between, not on lines.

Brandon Fox · Answer

so the answer will be negative. Uh, we just need to divine 14 by 111. Now, 111 does not go into 14. So at a 140.0 111 goes into 1 41 time, that&#x27;s 111. And in this case here, we&#x27;re gonna 29 left over and drop a zero now 111 goes into to 90 twice, and that&#x27;s gonna be 222. And in the remainder will be 68. In this case, drop a zero now 1 11 goes into 6 86 times as 666. And in this case, where it&#x27;s gonna be 14 as a remainder dropped zero and you&#x27;ll notice that this 1 40 has repeated meaning. We&#x27;re gonna get this 1 to 6126 over and over again. Bring the vessel straight up. That means it&#x27;s gonna be negative. 0.126 repeating as her answer

James Kiss · Answer

12 25th lightest 1 25th minus 1 25th There&#x27;s already common denominator 25. So we just combine our new where&#x27;s told, minus one minus 1 12 minus one minus one is 10 25th. 10 is five times to 25 5 times fives we can reduce by a factor of five. Being to Fitz is are simplified.

Ava Perkins · Answer

it&#x27;s problems before we&#x27;re using a calculator, but we will still short work, right? So we have 12 and two thirds times 25 18 So we need to find the common denominator for both. Actually, no, we don&#x27;t. We will turn these into improper fractions and then we&#x27;ll multiply. So we have 12 times three equals 36 plus two equals 38 over three times. We have 25 times eight is equal to 200 plus one equals 201. That is 2001. You have 200 won over eight now. Because we&#x27;re using our calculators, we will just multiply this straight through 201 times 38 is 7638 divided by 24. Now we want to write this as a mixed number, but we know by using our calculator that it goes in 318 times and you have 18 times 24 is going to equal 24 7632. And when we subtract 7638 from 7632 we&#x27;re going to get six left over circuit. Have they&#x27;re headed 18 and six 24th, but we can simplify this into 318 and 1/4

Brandon Fox · Answer

to turn this fraction into a decimal will take 45 divide it by 22. So 22 goes into 45. Twice will get 44. Here it&#x27;s a tractor. Get one remainder 0.0 and drop the zero. 22 does not going to 10. So we&#x27;ll go ahead and put it zero here and we will dropped another zero. 22 goes into 100 4 times. This would be 88. We&#x27;ll get 12 remainder and dropped. Another zero. 22 goes in the 125 times. This is gonna be 110. We get 10 remainder dropped a zero. We get 100 again. I recognize that. This repeats right here. So there are two repetitions here, but between these two, so we will actually repeat the four and five over and over again. So 2.45 with the 45 repeating

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