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Chapter 14: Q. 5 (page 1131)

Give two examples of quantities that may be computed by ∫C F⋅dr.

Short Answer

Expert verified

The two examples can be given as:

  1. The work is done by a vector field moving a particle along the curve.
  2. The flux of a vector field is perpendicular to the curve.

Step by step solution

01

Step 1. Given information.

We need to find two examples of quantities that may be computed by ∫C F⋅dr.

02

Step 2. Explanation

The work done by a vector field F moving a particle along the curve C is computed by the following line integral:

∫C F⋅dr.

The flux of a vector field F perpendicular to the curve C is computed by the following line integral:

∫C F⋅dr=∫C F⋅nds

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Most popular questions from this chapter

What is the difference between the graphs of

G(x,y)=xi+yjandF(x,y)=−xi+(-y)j

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