 3.3.1: In Exercises 16, sketch the given vector fields on R2.F = yi xj
 3.3.2: In Exercises 16, sketch the given vector fields on R2.F = xi yj
 3.3.3: In Exercises 16, sketch the given vector fields on R2.F = (x, y)
 3.3.4: In Exercises 16, sketch the given vector fields on R2.F = (x, x 2)
 3.3.5: In Exercises 16, sketch the given vector fields on R2.F = (x 2, x)
 3.3.6: In Exercises 16, sketch the given vector fields on R2.F = (y2, y)
 3.3.7: In Exercises 712, sketch the given vector field on R3.F = 3i + 2j + k
 3.3.8: In Exercises 712, sketch the given vector field on R3.F = (y, x, 0)
 3.3.9: In Exercises 712, sketch the given vector field on R3.F = (0,z, y)
 3.3.10: In Exercises 712, sketch the given vector field on R3.F = (y, x, 2)
 3.3.11: In Exercises 712, sketch the given vector field on R3.F = (y, x,z)
 3.3.12: In Exercises 712, sketch the given vector field on R3.F = y x 2 + y...
 3.3.13: In Exercises 1316, use a computer to plot the given vector fields o...
 3.3.14: In Exercises 1316, use a computer to plot the given vector fields o...
 3.3.15: In Exercises 1316, use a computer to plot the given vector fields o...
 3.3.16: In Exercises 1316, use a computer to plot the given vector fields o...
 3.3.17: In Exercises 1719, verify that the path given is a flow line of the...
 3.3.18: In Exercises 1719, verify that the path given is a flow line of the...
 3.3.19: In Exercises 1719, verify that the path given is a flow line of the...
 3.3.20: In Exercises 2022, calculate the flow line x(t) of the given vector...
 3.3.21: In Exercises 2022, calculate the flow line x(t) of the given vector...
 3.3.22: In Exercises 2022, calculate the flow line x(t) of the given vector...
 3.3.23: Consider the vector field F = 3 i 2 j + k. (a) Show that F is a gra...
 3.3.24: Consider the vector field F = 2x i + 2y j 3k. (a) Show that F is a ...
 3.3.25: Consider the vector field F = 2x i + 2y j 3k. (a) Show that F is a ...
 3.3.26: Let F: X Rn Rn be a continuous vector field. Let(a, b) be an interv...
 3.3.27: Let F: X Rn Rn be a continuous vector field. Let(a, b) be an interv...
 3.3.28: Let F: X Rn Rn be a continuous vector field. Let(a, b) be an interv...
 3.3.29: Let F: X Rn Rn be a continuous vector field. Let(a, b) be an interv...
 3.3.30: Let F: X Rn Rn be a continuous vector field. Let(a, b) be an interv...
 3.3.31: Let F: X Rn Rn be a continuous vector field. Let(a, b) be an interv...
Solutions for Chapter 3.3: Vector Fields: An Introduction
Full solutions for Vector Calculus  4th Edition
ISBN: 9780321780652
Solutions for Chapter 3.3: Vector Fields: An Introduction
Get Full SolutionsThis textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652. This expansive textbook survival guide covers the following chapters and their solutions. Since 31 problems in chapter 3.3: Vector Fields: An Introduction have been answered, more than 12423 students have viewed full stepbystep solutions from this chapter. Chapter 3.3: Vector Fields: An Introduction includes 31 full stepbystep solutions.

Bearing
Measure of the clockwise angle that the line of travel makes with due north

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Common difference
See Arithmetic sequence.

Elimination method
A method of solving a system of linear equations

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Frequency table (in statistics)
A table showing frequencies.

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.

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Interquartile range
The difference between the third quartile and the first quartile.

Logarithmic form
An equation written with logarithms instead of exponents

nset
A set of n objects.

Natural logarithm
A logarithm with base e.

Pie chart
See Circle graph.

Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

Scalar
A real number.

Spiral of Archimedes
The graph of the polar curve.

Standard form of a complex number
a + bi, where a and b are real numbers

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k