Question

if you have a set of vectors S that spans Q, does that mean that all the vectors in Q are in the spanning set for S?

Answer 1

I'm just a little confused about the wording in my problem

Answer 2

If S spans Q, then all vectors in Q can be obtained by a linear combination of vectors in S.
Specifically, the zero vector is a linear combination of vector in S with all the scalar coefficients zero.

Answer 3

Thanks, that helps a lot

Answer 4

You're welcome! :)