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1. Let W be the set of all [x y z}^t in R^3 such that xyz...

1. Let W be the set of all [x y z}^t in R^3 such that xyz = 0. Is W a subspace of R^3?

2. Let C^0 (R) denote the space of all continuous real-valued functions f(x) of x in R. Let W be the set of all continuous functions f(x) such that f(1) = 0. Is W a subspace of C^0(R)?

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