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## PowerPoint Slideshow about 'Chapter 5' - salaam

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### Chapter 5

Section 1

Theorem 5.1.1: If x and y are two nonzero vectors in either R2 or R3 and θ is the angle between them, then xTy=||x||||y||cosθ

y-x

x

y

θ

Vectors inRn:

Vectors inRn:

Vectors inRn:

Vectors inRn:

Vectors inRn:

Books:

B1: Applied Linear Algebra

B2: Elementary Linear Algebra

B3: Elementary Linear Algebra with Applications

B4: Linear Algebra and its applications

B5: Linear Algebra with Applications

B6: Matrix Algebra with Applications

B7: Matrix Theory

Keywords: algebra, application, elementary, linear, matrix, theory

Books:

B1: Applied Linear Algebra

B2: Elementary Linear Algebra

B3: Elementary Linear Algebra with Applications

B4: Linear Algebra and its applications

B5: Linear Algebra with Applications

B6: Matrix Algebra with Applications

B7: Matrix Theory

B1: Applied Linear Algebra

B2: Elementary Linear Algebra

B3: Elementary Linear Algebra with Applications

B4: Linear Algebra and its applications

B5: Linear Algebra with Applications

B6: Matrix Algebra with Applications

B7: Matrix Theory

Words to Search For:

orthogonality

spaces

vector

Note: Since y5=0.635 is the entry ofythat is closest to 1, the direction of the search vectoruis closest to the direction of q5 and hence document 5 is the one that best matches our search criteria

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