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3 answer 2 below: If f(z) in your answer 3r2 For A1 V ifyou I2 ! # V enter 20...

Question

3 answer 2 below: If f(z) in your answer 3r2 For A1 V ifyou I2 ! # V enter 20

3 answer 2 below: If f(z) in your answer 3r2 For A1 V ifyou I2 ! # V enter 20



Answers

In Exercises $21-26,$ use a graphing utility to find $\mathbf{u} \times \mathbf{v}$
$$
\begin{array}{l}{\mathbf{u}=6 \mathbf{i}-5 \mathbf{j}+\mathbf{k}} \\ {\mathbf{v}=\frac{1}{2} \mathbf{i}-\frac{3}{4} \mathbf{j}+\frac{2}{10} \mathbf{k}}\end{array}
$$

Those two vectors to work with. We have you is equal to 1.5 and then 2.5 as its components and V is equal to believe. 01 We were just asked to three algebraic operations. So the first ones just u minus v and we just break this down to components are first component will just be 1.5 minus zero, which is 1.5. Our second component is 2.5 minus one, which is 1.5. It's just kind of 1.51 point five. Our second operation is it's gonna be you plus to be okay, so I u plus to be were 1.5 plus two times zero, which is still 1.5. Okay, we're gonna have 2.5 plus two times one, which is 4.5 okay, on our last one is negative. Three year plus seven again, we just break it down into components and negative. Three times 1.5 is negative. 4.5 plus zero is just negative. 4.5 for a second component. We have 2.5 times negative three, which is negative. 7.5 negative. 7.5 plus one is negative. 6.5. Thank you very much.

Welcome to enumerated in the current problem were given three victors. Which are you? V and W. And then we have to see what would be see and then understand. What is the geographical interpretation of that? So first we have to look at the victors U N fee for this current problem. W wouldn't come toe and use right now. So first we see you, you is going to be used here directly and then minus two times off feet. So what is you? You is nothing but minus one three and to And then when we do minus two weeks, what do we get? So we get minus two plus four class food. So we now have to just do term by term addition. Because this is you on. This is minus two. We if we just add them, we will get you plus minus. Toby, that is U minus two B. So that means here. Minus one plus minus two. This will give us minus three, then in the same way, this would result seven. This would result toe six. So we have minus 37 and six. Now let us see what happens when we transform it using, uh, three dimensional platform. So we have this set up where we can visualize three dimensional plane. So first we had you being given as minus 13 to so we will enter you. Music close minus 13 Hell, people were given v Toby one minus two minus two. Sophie will be button my next school minus now, hoping we want tohave. What is u minus? Toby, we can just simply right sit because in school you minus movie. So you can see this minus 3 76 which we had gotten earlier. So that will be the following point. Let me zoom out this view and surely so this point e is that if we try toe view it from here, we can see that the first one is you over here. And the fee is the one which is a job. So let me just try to write it in a better way. See he immediately close toe u minus building. So if you see, he is this vector u minus 2 ft. So the understanding from this is when we were doing see U and V are in opposite direction. But we multiplied v with a negative term. It is minus two, so let us see what happens. Why did this happen? Why? Subtracting a to Victor's is giving us a longer one. So basically, let's try to understand what is minus two weeks. So C p is equals toe minus two. Lousy. Read his speech bes. I will change the corner so that you can see be Is this pink one And what does V u u waas this black one short black one. So what is happening? This negative off to V minus two V is actually in the same direction with the victor you. So when they're in the same direction adding them up well, just give a longer victor and that is the understanding off this. So this is how the traditional subtraction works. Initially, we had you, which is the small black one on D. V was distorted black line in the opposite direction. But as we multiplied the negative direction this one with a negative number, it came back to the original direction off the you Victor. So once we, uh, added, this one got added up and produced this longer. Victor, I hope I could make it clear for you.

Hello. Hope you're doing well. So we're given our factors you and be and we need to find you cross V. So just a reminder what the cross product is that cross product of U cross V. Let's say that's our vector w vector w will be orthogonal to both are you and view vectors essentially will be perpendicular to both you and be so the way you find the direction of, uh, your cross product is you'll have vector you. Let's say you have a vector V there. So you're gonna point your fingers in the direction of the U vector Curly them in the direction of the vector in the direction your thumb is pointing. That's the direction of the W vectors. In this case, it would be coming out of the screen. So this way it is her orthogonal to go through you and view factors. Okay, so we're going Thio, find this cross product using a graphing calculator. But first, to make it easier to enter into the graphing calculator, we're going to take our U and V vectors and write them in bracketed for So are you. Vector is going to be equal to our I component is to R J components minus one. And R K component is three v vector Are I Component is minus one. RJ component is one RK component is minus four. So now that we have these values, we could go and enter them in three online graphing calculator. So you is equal to do minus one three. Then the RV vectors might have sworn one minus sport. Yeah, it's so now we're going to make W R cross products and believes cross you the I mean, the 151 That's our cross for So you crossed. The is equal to one minus 51 Double check. Yeah, one. We're sorry. Not minus five. It's 15 point. Okay, So 151 is our cross product. And we can also write this in terms of its I, J and K components. This is equal I plus five J plus K. And either of these methods air correct for writing the result of the crossfire. This is our answer right here. That the cross product. All right. Well, thanks. And I hope that helps

Given that the vector U is 11 Bias one and the vector B is 203 We want to write the Vector five you minus v using the I J k notation of a vector. So first, let's go ahead and figure out what five you should be So by these Gaylor property of vectors, if I multiply it by five, all that's going to do is multiply each of these components by one. So five times one is 55 times one is five and five times negative. One is five. Now, if we're going to subtract these, so let me go ahead like this blood. So five, you minus be well, this is going to be by five minus five, distracted by 203 And remember, when we're adding gris attracting vectors, we combined them component wise. So we'll do five minus two, which is going to get of three. And then we'll do five minus zero much Gibbs five. And then we do negative five minus three, which gives negative eight. So now we have this using the bracket notation and we can rewrite this using the hijack. A notation recalling that the X component is the coefficient for high. The white component is a coefficient for Jay, and the Z component is the coefficient or okay, so it'll be three I plus five j minus eight k. So this here would be the I J k notation of the Vector five. You minus.


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