 124.12.4.1: For Exercises 112, perform the following operations on the given 3...
 124.12.4.2: For Exercises 112, perform the following operations on the given 3...
 124.12.4.3: For Exercises 112, perform the following operations on the given 3...
 124.12.4.4: For Exercises 112, perform the following operations on the given 3...
 124.12.4.5: For Exercises 112, perform the following operations on the given 3...
 124.12.4.6: For Exercises 112, perform the following operations on the given 3...
 124.12.4.7: For Exercises 112, perform the following operations on the given 3...
 124.12.4.8: For Exercises 112, perform the following operations on the given 3...
 124.12.4.9: For Exercises 112, perform the following operations on the given 3...
 124.12.4.10: For Exercises 112, perform the following operations on the given 3...
 124.12.4.11: For Exercises 112, perform the following operations on the given 3...
 124.12.4.12: For Exercises 112, perform the following operations on the given 3...
 124.12.4.13: What is the angle between the vectors v and w in Figure 12.32? w
 124.12.4.14: The force of gravity acting on a ball is 2 lb downward. How much wo...
 124.12.4.15: How much work is done in pushing a 350lb refrigerator up a 12 ft r...
 124.12.4.16: Which pairs of the vectors 3i +j , 3i + 3j , i 3j are parallel and ...
 124.12.4.17: Compute the angle between the vectors i + j + k and i j k . 18. F
 124.12.4.18: For what values of t are u = t i j + k and v = t i + tj 2 k perpend...
 124.12.4.19: Suppose that a  = 7 and b  = 4, but that a and b can point ...
 124.12.4.20: A 100meter dash is run on a track in the direction of the vector v...
 124.12.4.21: Let A, B, C be the points A = (1, 2); B = (4, 1); C = (2, 4). Is tr...
 124.12.4.22: Show that the vectors (b c )a (a c )b and c are perpendicular. 23. In
 124.12.4.23: In this problem, you will check the distributive law for 2vectors....
 124.12.4.24: Let u = u1 i + u2j and v = v1 i + v2j . Using u v = u v cos and the...
 124.12.4.25: (a) Bread, eggs, and milk cost $3.00 per loaf, $2.00 per dozen, and...
 124.12.4.26: Recall that in 2 or 3 dimensions, if is the angle between v and w ,...
 124.12.4.27: A basketball gymnasium is 25 meters high, 80 meters wide and 200 me...
 124.12.4.28: Let S be the triangle with vertices A = (2, 2, 2), B = (4, 2, 1), a...
 124.12.4.29: We can represent a rectangle as a 4vector r = (x1, y1, x2, y2), wh...
Solutions for Chapter 124: THE DOT PRODUCT
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 124: THE DOT PRODUCT
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 124: THE DOT PRODUCT includes 29 full stepbystep solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Since 29 problems in chapter 124: THE DOT PRODUCT have been answered, more than 25140 students have viewed full stepbystep solutions from this chapter. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753.

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) nk where p is the probability of the outcome occurring once

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

nth root
See Principal nth root

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Pie chart
See Circle graph.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Principle of mathematical induction
A principle related to mathematical induction.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Subtraction
a  b = a + (b)

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

yintercept
A point that lies on both the graph and the yaxis.

Zero factorial
See n factorial.