   Chapter 10.CT, Problem 21CT Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In cartesian space, line segment P 1 P 2 - has endpoints P 1 - 2 ,   3 ,   5 and P 2 2 ,   - 1 . ,   - 7 .a) Find midpoint M of P 1 P 2 - .b) Find the length d of P 1 P 2 - .

To determine

(a)

To find:

The midpoint M of P1P2- where the line segment P1P2- has endpoints P1-2, 3, 5 and P22, -1, -7.

Explanation

P1x1,y1, z1=-2, 3, 5

P2x2,y2, z2=2, -1, -7

Formula for midpoint of the line segment joining two points.

M=x1+x22, y1+y22, z1+z22

Substituting the x and y co-ordinates

To determine

(b)

To find:

The length of P1P2- where the line segment P1P2- has endpoints P1-2, 3, 5 and P22, -1, -7.

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