   Chapter 12.1, Problem 3PT

Chapter
Section
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|=(x2x1)2+(y2y1)2+(z2z1)2.

Calculation:

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

Let P1=(7,4,3) and P2=(1,2,3).

The distance between the points is calculated as follows.

Substitute x1=7, y1=4, z1=3, x2=1, y2=2 and z2

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