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Solutions for Chapter 13.3: THE DOT PRODUCT

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Solutions for Chapter 13.3: THE DOT PRODUCT

Solutions for Chapter 13.3
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Textbook: Calculus: Single and Multivariable
Edition: 6
Author: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more
ISBN: 9780470888612

Since 85 problems in chapter 13.3: THE DOT PRODUCT have been answered, more than 43302 students have viewed full step-by-step solutions from this chapter. Chapter 13.3: THE DOT PRODUCT includes 85 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a complex number

    The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

  • Addition property of inequality

    If u < v , then u + w < v + w

  • Algebraic model

    An equation that relates variable quantities associated with phenomena being studied

  • Factor

    In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

  • Factoring (a polynomial)

    Writing a polynomial as a product of two or more polynomial factors.

  • Matrix, m x n

    A rectangular array of m rows and n columns of real numbers

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Multiplicative inverse of a complex number

    The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

  • Nonsingular matrix

    A square matrix with nonzero determinant

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Power rule of logarithms

    logb Rc = c logb R, R 7 0.

  • Pythagorean

    Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

  • Quartic function

    A degree 4 polynomial function.

  • Reciprocal of a real number

    See Multiplicative inverse of a real number.

  • Remainder theorem

    If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

  • Symmetric about the origin

    A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

  • Variable (in statistics)

    A characteristic of individuals that is being identified or measured.

  • Vertex of a parabola

    The point of intersection of a parabola and its line of symmetry.

  • yz-plane

    The points (0, y, z) in Cartesian space.

  • Zero of a function

    A value in the domain of a function that makes the function value zero.

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