Question: Let U and W be subspaces of a vector space V. (a) If dim V = 3, dim U = dim W = 2, and

Let U and W be subspaces of a vector space V.
(a) If dim V = 3, dim U = dim W = 2, and U ≠ W, show that dim(U ∩ W) = 1.
(b) Interpret (a) geometrically if V= R3.

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