Algebra pls!

Dxaxa

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Hello, I have problems settling this question. The thing is I don't even know where to start. I already answered question 1)a) up to 1)d) (still unsure with the answers because I cannot fully understand the questions) but cannot answer the rest. For question 1)e) what exactly the question means by u1 > 0 and u2 >0 ? what is the first step that I should do for 1)e)?
 

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I believe u1 and u2 refer to the components of vector u. If they are both positive, then u is in the first quadrant. They are looking for a linear combination of v and w in the first quadrant.

It will be very helpful if you show us your answers to parts a through d (and whatever guess you have for e), so we can check them and your understanding. That will also provide a place to start for part e. (For instance, we'll be talking about what quadrant the answers to c and d are in.)
 
Here is the answers from a) to d)
 

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I try to answer e and f
 

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It looks like you've got the idea. To get in a certain quadrant, you need to combine larger or smaller, positive or negative amounts of v and w.
 
Yes, they're fine. Of course, there are many other valid answers, and several ways you might have found them. I did it by thinking visually based on the drawings for the previous parts.
 
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