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# Solutions for Chapter 11.4: Lines and Planes in Space

## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202

Solutions for Chapter 11.4: Lines and Planes in Space

Solutions for Chapter 11.4
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##### ISBN: 9781133947202

This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.4: Lines and Planes in Space includes 72 full step-by-step solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. Since 72 problems in chapter 11.4: Lines and Planes in Space have been answered, more than 36011 students have viewed full step-by-step solutions from this chapter.

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

See Magnitude of a vector.

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Census

An observational study that gathers data from an entire population

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Double-angle identity

An identity involving a trigonometric function of 2u

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Factored form

The left side of u(v + w) = uv + uw.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Negative linear correlation

See Linear correlation.

• nth root of unity

A complex number v such that vn = 1

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• Remainder theorem

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

• Sum of an infinite series

See Convergence of a series

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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