Vector Properties Problem: Prove the properties of vectors that follow. A sketch may

Chapter 10, Problem 15

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Vector Properties Problem: Prove the properties of vectors that follow. A sketch may help. Express the vectors as the sum of their components, and prove the properties algebraically. a. Vector addition is commutative. b. Vector addition is associative. Multiplication by a scalar distributes over vector addition. e. The set of vectors is closed under addition.

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