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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 32157 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
• Arctangent function

See Inverse tangent function.

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Directed angle

See Polar coordinates.

• 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

• Interquartile range

The difference between the third quartile and the first quartile.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Measure of center

A measure of the typical, middle, or average value for a data set

• Monomial function

A polynomial with exactly one term.

• Multiplicative inverse of a matrix

See Inverse of a matrix

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Sum of an infinite series

See Convergence of a series

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Weights

See Weighted mean.

• Ymax

The y-value of the top of the viewing window.

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