Solved: Explain why the set s of all vectors lying in any plane in, Mathematics

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Explain why the set s of all vectors lying in any plane in

Question: 1. Prove that the set S of all vectors lying in any plane in R³ that passes through the origin forms a subspace of R³.

2. Explain why the set S of all vectors lying in any plane in R³ that does not pass through the origin does not form a subspace of R³.

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Mathematics: Explain why the set s of all vectors lying in any plane in

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