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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 10.6, Problem 22E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Chapter
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Problem 1E
Problem 2E
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Problem 6E
Problem 7E
Problem 8E
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Problem 10E
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Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
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Problem 30E
Problem 31E
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Problem 34E
Problem 35E
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Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 49E
Problem 50E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

Which point(s) lie in the plane 2 x + y - z = 10 ?

a) 0 ,   0 ,   10 b) 5 ,   3 ,   - 3
c) 2 ,   4 ,   - 2 d) - 3 ,   6 ,   - 10

To determine

To find:

The point(s) lie in the plane 2x+y-z=10.

Explanation

Any point lying in the plane must satisfy the plane equation.

The point have coordinates such that they satisfies the plane equation.

Consider option a) 0, 0, 10

The coordinates are x=0, y=0, z=10.

Substituting the coordinates in the plane equation.

20+0-10≠10

0+0-10≠10

Hence, the point 0, 0, 6 does not lie in the plane.

Consider option b) 5, 3, -3

The coordinates are x=5, y=3, z=-3.

Substituting the coordinates in the plane equation.

25+3--3≠10

10+3+3≠10

16≠10

Hence, the point 5, 3, -3 does not lie in the plane.

Consider option c) 2, 4, -2

The coordinates are x=2, y=4, z=-2.

Substituting the coordinates in the plane equation

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