Example 1. Let R be the field of reals and V be the set of vectors in a plane. Show that
V (R) is a vector space with vector addition as internal binary composition and scalar
multiplication of the elements of R with those of V as external binary composition.
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Definition A vector space (over R) consists of a set V along with two ... (1) if v, w ∈ V then their vector sum v + w is in V and. • v + ... To show that P is closed under scalar multiplication,.
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