×
×

# Solutions for Chapter 1.4: The Cross Product

## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Solutions for Chapter 1.4: The Cross Product

Solutions for Chapter 1.4
4 5 0 317 Reviews
18
3
##### ISBN: 9780321780652

Since 41 problems in chapter 1.4: The Cross Product have been answered, more than 12496 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Chapter 1.4: The Cross Product includes 41 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Circle graph

A circular graphical display of categorical data

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Directed distance

See Polar coordinates.

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Polar axis

See Polar coordinate system.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Right triangle

A triangle with a 90° angle.

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Variable

A letter that represents an unspecified number.

• Variance

The square of the standard deviation.

×