A non-empty subset W⊆R3W \subseteq \mathbb{R}^3W⊆R3 is a subspace only if all three of these hold:
Exactly one of the four subsets below satisfies all three. Which one?
Select all that apply.
{(x,y,z):x+y+z=3}\{(x,y,z) : x + y + z = 3\}{(x,y,z):x+y+z=3}
{(x,y,z):2x−y+5z=0}\{(x,y,z) : 2x - y + 5z = 0\}{(x,y,z):2x−y+5z=0}
{(x,y,z):x2+y2=z2}\{(x,y,z) : x^2 + y^2 = z^2\}{(x,y,z):x2+y2=z2}
{(x,y,z):x≥0}\{(x,y,z) : x \ge 0\}{(x,y,z):x≥0}