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High School Math Calculus Precalculus with Limits: A Graphing Approach

The relationship between two lines with direction numbers 10 , − 18 , 20 and − 15 , 27 , − 30 respectively.

The relationship between two lines with direction numbers 10 , − 18 , 20 and − 15 , 27 , − 30 respectively.

Precalculus with Limits: A Graphing Approach

Precalculus with Limits: A Graphing Approach

7th Edition

ISBN: 9781305071711

Author: Ron Larson

Publisher: Brooks/Cole

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Question

Chapter 10.4, Problem 67E

To determine

To find: The relationship between two lines with direction numbers 10 , −18 , 20 and −15 , 27 , −30 respectively.

Expert Solution & Answer

Answer to Problem 67E

The two lines with direction numbers 10 , −18 , 20 and −15 , 27 , −30 respectively are parallel.

Explanation of Solution

Given information:

The direction numbers of two lines are 10 , −18 , 20 and −15 , 27 , −30 respectively.

Calculation:

The direction numbers of both the lines are dependent. The direction numbers of second line is the −32 times the direction numbers of first line.

When the direction numbers of two lines are dependent, both the lines are parallel.

Therefore, the two lines with direction numbers 10 , −18 , 20 and −15 , 27 , −30 respectively are parallel.

Chapter 10.4, Problem 66E

Chapter 10, Problem 1RE

Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

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