Understanding Quotient Vector Space: Collapsing to Zero

matheinste
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Hello all

I have read about quotient spaces of a vector space in several books and have an understanding of what they are.

Looking up Quotient Vector Space in Wiki it says :-

The quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero.

I don't understand the collapsing to zero bit.

Thanks for any help Matheinste.
 
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What's the zero vector of V/N?
 
Thanks for your reply.

As [x]=x+n where n is in N i suppose the zero vector is 0+N but my lack of confidence shows that i don't really understand as much as i thought and so must go back to basics.

Matheinste.
 

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