   Chapter 16.1, Problem 16E

Chapter
Section
Textbook Problem

Match the vector fields F on ℝ3 with the plots labeled I-IV. Give reasons for your choices.16. F(x, y, z) = i + 2 j + z k To determine

To match: The vector field F(x,y,z)=i+2j+zk with the plots labeled as I-IV.

Explanation

Given data:

F(x,y,z)=i+2j+zk=1,2,z

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)

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

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