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# Solutions for Chapter 6.3: Conservative Vector Fields

## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Solutions for Chapter 6.3: Conservative Vector Fields

Solutions for Chapter 6.3
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##### ISBN: 9780321780652

Since 37 problems in chapter 6.3: Conservative Vector Fields have been answered, more than 13559 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Chapter 6.3: Conservative Vector Fields includes 37 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Annuity

A sequence of equal periodic payments.

• Common difference

See Arithmetic sequence.

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Data

Facts collected for statistical purposes (singular form is datum)

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Horizontal component

See Component form of a vector.

• Horizontal translation

A shift of a graph to the left or right.

• Line of travel

The path along which an object travels

• 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

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Order of magnitude (of n)

log n.

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Sequence

See Finite sequence, Infinite sequence.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Vertex of a cone

See Right circular cone.

• Vertical component

See Component form of a vector.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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