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**Help!!!! (Euclidean three space)**

## Homework Statement

Given the Euclidean three space R

^{3}and if L is a rotation about the origin, can you prove a situation when L([tex]\vec{v}[/tex])=[tex]\lambda[/tex] [tex]\vec{v}[/tex] and neither lambda or vector v equal zero

## Homework Equations

## The Attempt at a Solution

I understand that it is a full rotation of 2 pi but I do not know exactly how to prove it.