   Chapter 16.1, Problem 10E

Chapter
Section
Textbook Problem

Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.10. F(x, y, z) = i + k

To determine

To sketch: The vector field F for equation F(x,y,z)=i+k .

Explanation

Given data:

F(x,y,z)=i+k

Formula used:

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

Write the expression for length of the three dimensional vector.

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

Consider the given vector field.

F(x,y,z)=i+k=i+0j+k=1,0,1

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

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