# Math Help - [SOLVED] Vector help

1. ## [SOLVED] Vector help

if 3 independent vectors with 4 components are combined like in
cv + dw + eu then do they span a 3d space within 4d space or do they span all of R^4?

2. What's the maximum Rank of the matrix representation?

On the other hand, maybe I've been away too long.

3. idk, this is just a random thought- i forgot some of my linear algebra

4. Time for both of us to upgrade.

I think you would have a tough time spanning R^4 with three vectors. Try spanning R^2 with one vector.

5. i'm just looking back at some of my notes and I found a line that says: cv + dw spans a plane if v and w are not perpendicular, is that even correct?

6. Take your pick to make it correct:

1) Delete the "not".
2) Change "perpendicular" to "parallel".

You need to take better notes.

7. Since it seems like you've been away from lin. alg. for a while, I don't think it is unreasonable to ask if you remember what it means for something to span $\mathbb{R}^2$?

8. oh boy lol.

thanks for the help