Is the subset w = (x, y, z) ⊂ r 3 a vector subspace of r 3 ? explain why or why not?

asked May 23, 2018 61.2k views

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4 votes

No,

is not a subspace of
$\mathbb R^3$ because it doesn't contain the zero vector.

Ehsan Kia answered May 29, 2018