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# Solutions for Chapter 12: VECTOR GEOMETRY

## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Solutions for Chapter 12: VECTOR GEOMETRY

Solutions for Chapter 12
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##### ISBN: 9781464114885

Since 71 problems in chapter 12: VECTOR GEOMETRY have been answered, more than 41798 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Chapter 12: VECTOR GEOMETRY includes 71 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Augmented matrix

A matrix that represents a system of equations.

• Average velocity

The change in position divided by the change in time.

• Base

See Exponential function, Logarithmic function, nth power of a.

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Common logarithm

A logarithm with base 10.

• Commutative properties

a + b = b + a ab = ba

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Permutation

An arrangement of elements of a set, in which order is important.

• Phase shift

See Sinusoid.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Reflexive property of equality

a = a

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Sequence

See Finite sequence, Infinite sequence.

• Series

A finite or infinite sum of terms.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

• Weights

See Weighted mean.

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