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# Solutions for Chapter 1.5: Equations for Planes; Distance Problems ## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652 Solutions for Chapter 1.5: Equations for Planes; Distance Problems

Solutions for Chapter 1.5
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##### ISBN: 9780321780652

This expansive textbook survival guide covers the following chapters and their solutions. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Chapter 1.5: Equations for Planes; Distance Problems includes 39 full step-by-step solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Since 39 problems in chapter 1.5: Equations for Planes; Distance Problems have been answered, more than 12803 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Conversion factor

A ratio equal to 1, used for unit conversion

• Cosine

The function y = cos x

• Determinant

A number that is associated with a square matrix

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Distributive property

a(b + c) = ab + ac and related properties

• Explanatory variable

A variable that affects a response variable.

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Measure of an angle

The number of degrees or radians in an angle

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Parametric curve

The graph of parametric equations.

• Phase shift

See Sinusoid.

• Positive angle

Angle generated by a counterclockwise rotation.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Slant asymptote

An end behavior asymptote that is a slant line

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

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