(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Do functions that vanish at the end points x=0 and x=L form a vector space ? How about periodic functions obeying f(L)=f(0)? How about functions that obey f(0)=4 ?

If the functions do not qualify , list the things that go wrong .

2. Relevant equations

All axioms defining the vector space .

3. The attempt at a solution

I tried to sketch some functions collapsed on point x=L and x=0 and superposed them . But , I don't know how to make a pointwise addition of 2 functions which I don't know the explicit forms .

I guess functions mentioned on the problem are violating the closure feature of a vector space.

I got really confused

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

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

# Homework Help: Vector space

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

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