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Section 9.2 Vectors in 3-dim space Two approaches to vectors 1.Algebraic 2.Geometric.

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Presentation on theme: "Section 9.2 Vectors in 3-dim space Two approaches to vectors 1.Algebraic 2.Geometric."— Presentation transcript:

1 Section 9.2 Vectors in 3-dim space Two approaches to vectors 1.Algebraic 2.Geometric

2 DEFINITION: A vector in 3-space is an ordered triple of real numbers. The real numbers are the components of the vector. Example: A =

3 DEFINITION: The vector space R^3 is the collection of all order triples A = where a, b and c are arbitrary real numbers. The vectors obey two operations, called addition (+) and scalar multiplication (.), which we now define.

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6 More definitions

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11 A fundamental construction*

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