1. ## Subspace of vector

Is the following a subspace of R^3? The set of all vectors of the form (a,b,c) where
a+b+c=1

2. Originally Posted by lm6485
Is the following a subspace of R^3? The set of all vectors of the form (a,b,c) where
a+b+c=1

Does this set contain, and this is a NECESSARY condition, the zero vector?

Tonio

3. No?

4. Originally Posted by lm6485
No?

Are you seriously asking? What about taking the zero vector (0,0,0) and plugging it into a+b+c = 1 to check?

Tonio