Let V be a vector space over F, and let U and W be subspaces of V. The sum of U and W, denoted by U+W, is the subset U+W ={u+w:u∈U,w∈W}. Prove that U+W is a subspace of V .
Let V be a vector space over F, and let U and W be subspaces of V. The sum of U and W, denoted by U+W, is the subset U+W ={u+w:u∈U,w∈W}. Prove that U+W is a subspace of V .
Let V be a vector space over F, and let U and W be subspaces of V. The sum of U and W, denoted by U+W, is the subset U+W ={u+w:u∈U,w∈W}. Prove that U+W is a subspace of V .
Let V be a vector space over F, and let U and W be subspaces of V. The sum of U and W, denoted by U+W, is the subset U+W ={u+w:u∈U,w∈W}. Prove that U+W is a subspace of V .
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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