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# Solutions for Chapter 11.2: Vectors in Space

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

ISBN: 9781133947202

Solutions for Chapter 11.2: Vectors in Space

Solutions for Chapter 11.2
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##### ISBN: 9781133947202

Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. Since 70 problems in chapter 11.2: Vectors in Space have been answered, more than 35898 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.2: Vectors in Space includes 70 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

If u = v and w = z , then u + w = v + z

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Cotangent

The function y = cot x

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

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

An equation that can be written in the form.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Length of a vector

See Magnitude of a vector.

• Minute

Angle measure equal to 1/60 of a degree.

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Range screen

See Viewing window.

• Real number line

A horizontal line that represents the set of real numbers.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Wrapping function

The function that associates points on the unit circle with points on the real number line

• Xmin

The x-value of the left side of the viewing window,.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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