# Vectors and Subpaces

1. Nov 11, 2007

### Bds_Css

I am having trouble with this proof:

Let H and K be subspaces of the vector space V. The intersection of H and K, written as
H $$\cap$$ K, the set of v in V that belong to both H and K. Show that
H$$\cap$$ K is a subspace of V

2. Nov 11, 2007

### ZioX

What part are you having trouble with? Remember, if H and K are subspaces of the vector space V you must show that:

1) 0 is in HnK
2) For x,y in Hnk, x+y in HnK
3) k a scalar (in the relevant field) and x in HnK, kx in HnK