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Chapter 14: Q. 7 (page 1095)

What does it mean to say that a vector field is conservative?

Short Answer

Expert verified

A conservative vector field F is a vector field that can be written as the gradient of some function f.

Step by step solution

01

Step 1.Given Information

What does it mean to say that a vector field is conservative?

02

Step 2. A vector field is conservative 

If a vector field can be described as a gradient, it offers a number of mathematically appealing properties, including the ability to be easily integrated along curves. Such fields are referred to as conservative vector fields.

A vector field that is conservative. F is a vector field that represents the gradient of a function f.

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