Q1Multiple correct4 Marks15 Mar 2026Which of the following subsets are subspaces of R3\mathbb{R}^3R3 under the usual addition and scalar multiplication?AW={(x,y,z)∈R3∣z=2}W=\{(x,y,z)\in\mathbb{R}^3\mid z=2\}W={(x,y,z)∈R3∣z=2}BW={(x,y,z)∈R3∣x−y+z=0}W=\{(x,y,z)\in\mathbb{R}^3\mid x-y+z=0\}W={(x,y,z)∈R3∣x−y+z=0}CW={(x,y,0)∣x,y∈R}W=\{(x,y,0)\mid x,y\in\mathbb{R}\}W={(x,y,0)∣x,y∈R}DW={(x,y,0)∣x,y∈R}∪{(x,y,z)∈R3∣x+y+z=0}W=\{(x,y,0)\mid x,y\in\mathbb{R}\}\cup\{(x,y,z)\in\mathbb{R}^3\mid x+y+z=0\}W={(x,y,0)∣x,y∈R}∪{(x,y,z)∈R3∣x+y+z=0}
