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# Solutions for Chapter 13.4: THE CROSS PRODUCT

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

ISBN: 9780470888612

Solutions for Chapter 13.4: THE CROSS PRODUCT

Solutions for Chapter 13.4
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##### ISBN: 9780470888612

Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 67 problems in chapter 13.4: THE CROSS PRODUCT have been answered, more than 44964 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13.4: THE CROSS PRODUCT includes 67 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Circle graph

A circular graphical display of categorical data

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Factoring (a polynomial)

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

• Identity properties

a + 0 = a, a ? 1 = a

• Imaginary part of a complex number

See Complex number.

• Irrational zeros

Zeros of a function that are irrational numbers.

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Nonsingular matrix

A square matrix with nonzero determinant

• nth root of a complex number z

A complex number v such that vn = z

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Period

See Periodic function.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

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

• Unit circle

A circle with radius 1 centered at the origin.

• Vertical line test

A test for determining whether a graph is a function.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

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