Hi, I am having trouble with this proof, I am wondering what to do because the way I have attempted it is incorrect.(adsbygoogle = window.adsbygoogle || []).push({});

I want to prove

||x-y|| = ||x|| ||y|| ||x bar - y bar||

where

x and y are vectors in Rn

and u bar is defined by u/(||u||^2)

so the question asks to prove this analytically, I couldn't figure out how to do so, the only attempt I made was mathematically by expanding the right side using the formula for norm and trying to simplify it to the left. Anyway that results in a mess and I was wondering where to start.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help with a proof.

Loading...

Similar Threads for Help proof |
---|

A Is the proof of these results correct? |

I Doubt about proof on self-adjoint operators. |

B Help understanding a proof |

**Physics Forums | Science Articles, Homework Help, Discussion**