   Chapter 16.1, Problem 9E

Chapter
Section
Textbook Problem

Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.9. F(x, y, z) = −y i

To determine

To sketch: The vector field F(x,y,z)=yi .

Explanation

Given data:

F(x,y,z)=yi

Formula used:

Consider a three-dimensional vector F=x,y,z .

Write the expression for the length of the three dimensional vector.

|F(x,y,z)|=x2+y2+z2 (1)

Consider the given vector field.

F(x,y,z)=yi=yi+0j+0k=y,0,0

Find the length of F(x,y,z) by using the equation (1)

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