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.
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.