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Section 9.2 Vectors in 3-dim space

Section 9.2 Vectors in 3-dim space. Two approaches to vectors Algebraic Geometric. DEFINITION: A vector in 3-space is an ordered triple of real numbers < a,b,c >. The real numbers are the components of the vector. Example: A = < -3, 5, 17/3>.

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Section 9.2 Vectors in 3-dim space

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

  2. DEFINITION: A vector in 3-space is an ordered triple of real numbers <a,b,c>. The real numbers are the components of the vector. Example: A = < -3, 5, 17/3>

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

  4. More definitions

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  9. A fundamental construction*

  10. A fundamental construction*

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