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# Solutions for Chapter 11.4: The Cross Product of Two Vectors in Space

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

ISBN: 9780618606245

Solutions for Chapter 11.4: The Cross Product of Two Vectors in Space

Solutions for Chapter 11.4
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##### ISBN: 9780618606245

Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 11.4: The Cross Product of Two Vectors in Space includes 64 full step-by-step solutions. Since 64 problems in chapter 11.4: The Cross Product of Two Vectors in Space have been answered, more than 38902 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Closed interval

An interval that includes its endpoints

• Divergence

A sequence or series diverges if it does not converge

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Function

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

• Graphical model

A visible representation of a numerical or algebraic model.

• Length of an arrow

See Magnitude of an arrow.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Local extremum

A local maximum or a local minimum

• Midpoint (in a coordinate plane)

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

• Open interval

An interval that does not include its endpoints.

• Polynomial function

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

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Time plot

A line graph in which time is measured on the horizontal axis.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Vertical line test

A test for determining whether a graph is a function.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

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