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High School Math Calculus Precalculus with Limits: A Graphing Approach

To check: The points ( 0 , 4 , 4 ) , ( − 1 , 5 , 6 ) , ( − 2 , 6 , 7 ) are collinear or not with the help of vectors.

To check: The points ( 0 , 4 , 4 ) , ( − 1 , 5 , 6 ) , ( − 2 , 6 , 7 ) 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 59E

To determine

To check: The points (0,4,4) , (−1,5,6) , (−2,6,7) are collinear or not with the help of vectors.

Expert Solution & Answer

Answer to Problem 59E

The points (0,4,4) , (−1,5,6) , (−2,6,7) are not collinear.

Explanation of Solution

Given information:

The given points are (0,4,4) , (−1,5,6) , (−2,6,7) .

Calculation:

The component form of vector with initial point (0,4,4) and terminal point (−1,5,6) is 〈−1−0,5−4,6−4〉=〈−1,1,2〉 . So, the component form of vector with initial point (0,4,4) and terminal point (−1,5,6) is 〈−1,1,2〉 .

The component form of vector with initial point (0,4,4) and terminal point (−2,6,7) is 〈−2−0,6−4,7−4〉=〈−2,2,3〉 . So, the component form of vector with initial point (0,4,4) and terminal point (−2,6,7) is 〈−2,2,3〉 .

As both the vectors with initial point (0,4,4) and terminal point (−1,5,6) and with initial point (0,4,4) and terminal point (−2,6,7) are linearly independent. So, there is no c possible such that 〈−2,2,3〉=c〈−1,1,2〉 .

Therefore, the points (0,4,4) , (−1,5,6) , (−2,6,7) are not collinear.

Chapter 10.2, Problem 58E

Chapter 10.2, Problem 60E

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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