If V is a vector space over a field F with zero vector 0 and T, SSV, then which of the following is false? a) If S is a subspace of V, then 0 is in S. b) If S and T are subspaces of V, then S + T is a subspace of V. c) If 0 € S and for every vector u ES, its inverse - € S, then S is a subspace of V. d) If S and I are subspaces of V, then SnT is a subspace of V.

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A: This statement is False.  By using property of subspace we can prove this statement is False.

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A: U1,U2 and W be the subspaces of a vector space V.

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A: We have provided counter example

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A: Vector space V has two subspaces  W1 and W2 over a field F with W1⊂W2

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A: Basis of the vector space

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A: Given statement is false. Counter example is as follows