Chapter 11 - Lemmas, Theorems, etc.

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Lemmas, Theorems, etc.

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Lemma 11.3.
Let u, v and w be vectors in ℝn and let c ∈ R be a scalar. Then, the dot product satisfies the following properties:

  1. Commutativity:
    u • v = v • u

  2. Distributivity with Addition:
    (u + v) • w = u • w + v • w

  3. Distributivity with Scalar Multiplication:
    (cu) • v = c(u • v)

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