Chapter 12.1, Problem 3PT

### Study Guide for Stewart's Multivar...

8th Edition
Stewart + 1 other
ISBN: 9781305271845

Chapter
Section

### Study Guide for Stewart's Multivar...

8th Edition
Stewart + 1 other
ISBN: 9781305271845
Textbook Problem

# The distance between (7, 4, –3) and (–1, 2, 3) is: a) 4 b) 16 c) 104 d) 104

To determine

To choose: The appropriate option for the statement “The distance between (7,4,3) and (1,2,3) is:” from the given options (a)-(d).

Explanation

Formula used:

Distance between two points:

The distance between two points P1(x1,y1,z1) and P2(x2,y2,z2) is |P1P2|=(x2âˆ’x1)2+(y2âˆ’y1)2+(z2âˆ’z1)2.

Calculation:

Given points are (7,4,âˆ’3) and (âˆ’1,2,3).

Let P1=(7,4,âˆ’3) and P2=(âˆ’1,2,3).

The distance between the points is calculated as follows.

Substitute x1=7,Â y1=4,Â z1=âˆ’3,Â x2=âˆ’1,Â y2=2Â andÂ z2

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