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In words, what is a
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The definition of vector field and also provide some physical examples of the vector fields.
Answer to Problem 1RE
The vector field is a function in a plane that associates each point in the plane, P . The unique vector, F(P) , is parallel to the plane.
Explanation of Solution
The vector field is a function in a plane that associates each point in the plane, P . The unique vector, F(P) , is parallel to the plane.
Similarly, a vector field in the three dimensional space is a function which is associated with each point P in three space a unique vector F(P) in three space.
The vector field can be expressed as,
F(x,y,z)=f(x,y,z)i+g(x,y,z)j+h(x,y,z)k
Consider the function, F(x,y)=15√yi , which describes the velocity of the current in a system at various depths. The vector field direction is shown below.
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Chapter 15 Solutions
Calculus: Early Transcendentals, Enhanced Etext
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