Let S=(x1,x2,x3)inR^3mid x1+x2+x3=0 and T=(x1,x2,x3)inR^3mid x1x2+x3=0. Then which of the following statements is correct?

(B) S is a vectorspace of dimension 2 but T is not a vectorspace

Q41Section II (Mathematics)41 of 84

A linear equation defines a subspace; $x_1x_2+x_3=0$ does not

Let $S=\{(x_1,x_2,x_3)\in\mathbb{R}^3\mid x_1+x_2+x_3=0\}$ and $T=\{(x_1,x_2,x_3)\in\mathbb{R}^3\mid x_1x_2+x_3=0\}$ . Then which of the following statements is correct?

Pick an option to check your answer.

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