# Math Help - finding dimensions in subspace r^4

1. ## finding dimensions in subspace r^4

Am trying to find the dimension in the subspace of R^4 but, am confuse because the question is asking me:

All vectors of the form (a,b,c,0)

am just confuse in the vector form.

2. How many vectors do you need to form a basis?

Maybe ${(1,0,0,0), (0,1,0,0), (0,0,1,0)}$ forms a basis for the subspace?

So if there are 3 vectors needed to form a basis....

3. That would then make the Dimension 3 correct?

4. From Wikipedia article on dimension:

The dimension of a vector space is the number of vectors in any basis for the space, i.e. the number of coordinates necessary to specify any vector. This notion of dimension (the cardinality of a basis) is often referred to as the Hamel dimension or algebraic dimension to distinguish it from other notions of dimension.