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# Solutions for Chapter 6.4: Vectors and Dot Products

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 6.4: Vectors and Dot Products

Solutions for Chapter 6.4
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##### ISBN: 9780618643448

Chapter 6.4: Vectors and Dot Products includes 92 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Since 92 problems in chapter 6.4: Vectors and Dot Products have been answered, more than 20511 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448.

Key Calculus Terms and definitions covered in this textbook
• Anchor

See Mathematical induction.

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Common logarithm

A logarithm with base 10.

• Common ratio

See Geometric sequence.

• Empty set

A set with no elements

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Equilibrium price

See Equilibrium point.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Normal curve

The graph of ƒ(x) = e-x2/2

• Octants

The eight regions of space determined by the coordinate planes.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Series

A finite or infinite sum of terms.

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

• 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

x = a.

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