# Linear Algebra: Norm Vector

Hello, I am studying for an exam in Linear Algebra. My teacher gave us an outline of things that we need to know and one of them is this:

Find the norm of a vector v in n-dimensional space. Use it to find a unit vector in the same direction as v.

I was just hoping someone might be able to explain what exactly that means. I understand what a unit vector is but I'm a little hazy on the rest. Such as what exactly is a normal vector to another vector? Is that simply a vector that is perpendicular to the other? Any help would be awesome.

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Not normal, norm. They are two different things. In n-dimensional space, the most common norm is the square root of the inner product, or dot product. It gives a concept of length to a vector. How would you use a vector's length to find a unit vector in the same direction?

Dude thank you soooo much for clearing that up. Makes perfect sense now. And I learned what norm means. F' Yeah!

HallsofIvy