Chapter 1 - Vectors

# Chapter 1 - Vectors - Chapter 1 Vectors Section 1.1 The...

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Chapter 1 – Vectors Section 1.1 – The Geometry and Algebra of Vectors Pg 3, Pg 10, Theorem 1.1 – Algebraic Properties of Vectors in R n – Let u, v, and w be vectors in R n and let c and d be scalars. Then a. (Commutativity) b. (Associativity) c. d. e. (Distributivity) f. (Distributivity) g. h. Pg 12, Definition – A vector v is a linear combination of vectors if there are scalars such that . The scalars are called the coefficients of the linear combination. Section 1.2 – Length and Angle: The Dot Product Pg 15, Definition – If and then the dot product of u and v is defined by Pg 16, Theorem 1.2 – Let u, v, and w be vectors in R n and let c be a scalar. Then a. (Commutativity) b. (Distributivity) c. d. Pg 17, Definition – The length (or norm ) of a vector of a vector in R n is the nonnegative scalar defined by . Pg 17, Theorem 1.3 – Let v be a vector in R n and let c be a scalar. Then a. b.

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## This note was uploaded on 11/10/2011 for the course MATH 511 taught by Professor Staff during the Spring '08 term at Washington State University .

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Chapter 1 - Vectors - Chapter 1 Vectors Section 1.1 The...

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