   Chapter 11.2, Problem 92E

Chapter
Section
Textbook Problem

# EXPLORING CONCEPTSWriting The initial and terminal points of the vector v are ( x 1 , y 1 , z 1 ) and (x, y, z). Describe the set of all points (x, y, z) such that ‖ v ‖ = 4 .

To determine
The set of all points (x,y,z) such that initial point is (x1,y1,z1) and the terminal point is (x,y,z) and v=4.

Explanation

Given:

Initial point (x1,y1,z1) and the terminal point is (x,y,z) and v=4.

Explanation:

The vector v is xx1,yy1,zz1

v=(xx1)2+(yy1)2+(zz1)2v=4(xx1)2

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