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High School Math Calculus Precalculus with Limits: A Graphing Approach

To check: The points ( 1 , 3 , 2 ) , ( − 1 , 2 , 5 ) , ( 3 , 4 , − 1 ) are collinear or not with the help of vectors .

To check: The points ( 1 , 3 , 2 ) , ( − 1 , 2 , 5 ) , ( 3 , 4 , − 1 ) are collinear or not with the help of vectors .

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 10.2, Problem 57E

To determine

To check: The points (1,3,2) , (−1,2,5) , (3,4,−1) are collinear or not with the help of vectors.

Expert Solution & Answer

Answer to Problem 57E

The points (1,3,2) , (−1,2,5) , (3,4,−1) are collinear.

Explanation of Solution

Given information:

The given points are (1,3,2) , (−1,2,5) , (3,4,−1) .

Calculation:

The component form of vector with initial point (1,3,2) and terminal point (−1,2,5) is 〈−1−1,2−3,5−2〉=〈−2,−1,3〉 . So, the component form of vector with initial point (1,3,2) and terminal point (−1,2,5) is 〈−2,−1,3〉 .

The component form of vector with initial point (1,3,2) and terminal point (3,4,−1) is 〈3−1,4−3,−1−2〉=〈2,1,−3〉 . So, the component form of vector with initial point (1,3,2) and terminal point (3,4,−1) is 〈2,1,−3〉 .

As both the vectors with initial point (1,3,2) and terminal point (−1,2,5) and with initial point (1,3,2) and terminal point (3,4,−1) are negative multiple of each other.

Therefore, the points (1,3,2) , (−1,2,5) , (3,4,−1) are collinear.

Chapter 10.2, Problem 56E

Chapter 10.2, Problem 58E

Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Prob. 49E Ch. 10.1 - Prob. 50E Ch. 10.1 - Prob. 51E Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - Prob. 55E Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 57E Ch. 10.1 - Prob. 58E Ch. 10.1 - 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