1. (2) Let u = (1,2,-3,5,0),v = (0,4,-1,2,2) andw = (3,1,-4,-2,3). Find the norm of (3u - Zv) - (Zu -w)...

Find the norm of $\mathbf{v}$ $$ \begin{array}{ll}{\text { (a) } \mathbf{v}=\langle 1,-1\rangle} & {\text { (b) } \mathbf{v}=-\mathbf{i}+ 7 \mathbf{j}} \\ {\text { (c) } \mathbf{v}=\langle- 1,2,4\rangle} & {\text { (d) } \mathbf{v}=- 3 \mathbf{i}+2 \mathbf{j}+\mathbf{k}}\end{array} $$

Yeah. Now this is a partition off some sound on. And to find the norm, we first find all the differences between each of the part, each of the partitions. I'm not just 1.2 point 3.8 point four and the norm is just simply going to be the greatest of these differences. 1.2, which means arm is 1.2. That's it.

It in this problem, we are given a partition, which we call p, and we have to find the norm of this partition. Now, if you don't know what a partition is, I would probably look up that definition. Um, if you're learning this and calculus, um, you'll learn about partitions later on in future math classes when you talk about sets. But for this problem were given a partition p of the set that contains 1.21 point 52.32 point six and three and we need the norm of this partition. So essentially what we're doing right now is we're going to be, um, finding the width of sub intervals and they should look like something You're learning an integral calculus where you're finding the sub intervals like in a rhyme and some. And that's essentially what we're doing here. We'll take 1.2 minus zero to get 1.2 1.5 minus 1.2 to get 0.3 2.3, minus 1.5 to get 0.8 2.6, minus 2.3 to get 0.3 and finally three minus 2.6 to get 0.4 so you can see where I got these numbers. I'm just fund the difference between the various components of our partition. P So what we conceive from these calculations calculations? Pardon me? Is that the norm of our partition? P is 1.2. So I hope that this problem helped you understand how we can find the norm of a partition, Given what we know right now about norms and partitions, and you'll be learning more about both of these concepts in future math classes if you decide to take them.