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# Solutions for Chapter 11.3: The Dot Product of Two Vectors

## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Solutions for Chapter 11.3: The Dot Product of Two Vectors

Solutions for Chapter 11.3
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##### ISBN: 9780618606245

Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.3: The Dot Product of Two Vectors includes 90 full step-by-step solutions. Since 90 problems in chapter 11.3: The Dot Product of Two Vectors have been answered, more than 41565 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Arccotangent function

See Inverse cotangent function.

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Combination

An arrangement of elements of a set, in which order is not important

• Convenience sample

A sample that sacrifices randomness for convenience

• Cycloid

The graph of the parametric equations

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Identity

An equation that is always true throughout its domain.

• Identity properties

a + 0 = a, a ? 1 = a

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

• Length of a vector

See Magnitude of a vector.

• Linear system

A system of linear equations

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Normal distribution

A distribution of data shaped like the normal curve.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Re-expression of data

A transformation of a data set.

• Reference angle

See Reference triangle