section 9.2 vectors in 3-dim space
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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>. - PowerPoint PPT Presentation
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Section 9.2Vectors in 3-dim space
Two approaches to vectors
1. Algebraic2. 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>
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.
More definitions
More definitions
More definitions
More definitions
More definitions
A fundamental construction*
A fundamental construction*
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