# Linear Algebra help!

1. Jan 18, 2006

### eunhye732

I have been trying to figure this out but can't. I even went to the tutorial but the lady kept mumbling so it was obvious that she didn't really know how to do it either. So I really hope someone could help me. The only thing he told me was to look at the pythagorem theorem. Thanks

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2. Jan 19, 2006

### mathwonk

what is the question? i cannot read the scan.

3. Jan 19, 2006

### HallsofIvy

The question is to show that norm(v over norm(v))= 1 for v a vector.
That is, that
$$\left|\left|\frac{v}{\left|\left|v\right|\right|}\right|\right|= 1$$
eunhye732, one of the things you certainly should have learned about the "norm" is that ||av||= |a| ||v|| for a any number and v a vector. In particular, if a is a positive number then ||av||= a ||v||.
Think about that with a= 1/||v||.

Last edited by a moderator: Jan 20, 2006
4. Jan 19, 2006

### eunhye732

Oh i see how to do it now.
That helped a lot.
Thanks so much!