 10.6 A.1: In Exercises 16, find u H3, 4I, v H5, 2I
 10.6 A.2: u H1, 6I, v h 4, 13 i
 10.6 A.3: u 2i j, v 3i
 10.6 A.4: u i j, v 5j
 10.6 A.5: u 3i 2j, v 2i 3j
 10.6 A.6: u 4i j, v i 2j
 10.6 A.7: Suppose and are nonzeroparallel vectors.a. If show that u and v lie...
 10.6 A.8: Prove the Angle Theorem in the case when is 0or
 10.6 A.9: If u and v are nonzero vectors such thatshow that u and v are ortho...
 10.6 A.10: Show that are the vertices of aright triangle by considering the si...
 10.6 A.11: Find a number x such that the angle between thevectors and is radians.
 10.6 A.12: Find nonzero vectors u, v, and such that, , and neither v nor w iso...
 10.6 A.13: If u and v are nonzero vectors, show that thevectors , are orthogonal.
 10.6 A.14: A 600pound trailer is on an inclined ramp thatmakes a angle with t...
 10.6 A.15: In Example 7, find the vector that represents theforce necessary to...
 10.6 A.16: F 5i j, P 11, 22, Q 14, 32
 10.6 A.17: A lawn mower handle makes an angle of withthe ground. A woman pushe...
 10.6 A.18: A child pulls a wagon along a level sidewalk byexerting a force of ...
 10.6 A.19: A 40pound cart is pushed 100 feet up a ramp thatmakes a angle with...
 10.6 A.20: Suppose the child in Exercise 54 is pulling thewagon up a hill that...
Solutions for Chapter 10.6 A: Excursion: The Dot Product
Full solutions for Precalculus  1st Edition
ISBN: 9780030416477
Solutions for Chapter 10.6 A: Excursion: The Dot Product
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artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Binomial
A polynomial with exactly two terms

Correlation coefficient
A measure of the strength of the linear relationship between two variables, pp. 146, 162.

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Exponent
See nth power of a.

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

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

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Inverse variation
See Power function.

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Onetoone rule of exponents
x = y if and only if bx = by.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Radius
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Statistic
A number that measures a quantitative variable for a sample from a population.