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a. Show that if (x1, y1) and (x2, y2) are distinct points in R2, then the unique line

Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams ISBN: 9781429215213 438

Solution for problem 13 Chapter 5.2

Linear Algebra: A Geometric Approach | 2nd Edition

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Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams

Linear Algebra: A Geometric Approach | 2nd Edition

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Problem 13

a. Show that if (x1, y1) and (x2, y2) are distinct points in R2, then the unique line passing through them is given by the equation det 1 x y 1 x1 y1 1 x2 y2 = 0. b. Show that if (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3) are noncollinear points in R3, then the unique plane passing through them is given by the equation det 1 x y z 1 x1 y1 z1 1 x2 y2 z2 1 x3 y3 z3 = 0.

Step-by-Step Solution:
Step 1 of 3

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Step 2 of 3

Chapter 5.2, Problem 13 is Solved
Step 3 of 3

Textbook: Linear Algebra: A Geometric Approach
Edition: 2
Author: Ted Shifrin, Malcolm Adams
ISBN: 9781429215213

The full step-by-step solution to problem: 13 from chapter: 5.2 was answered by , our top Math solution expert on 03/15/18, 05:30PM. Linear Algebra: A Geometric Approach was written by and is associated to the ISBN: 9781429215213. The answer to “a. Show that if (x1, y1) and (x2, y2) are distinct points in R2, then the unique line passing through them is given by the equation det 1 x y 1 x1 y1 1 x2 y2 = 0. b. Show that if (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3) are noncollinear points in R3, then the unique plane passing through them is given by the equation det 1 x y z 1 x1 y1 z1 1 x2 y2 z2 1 x3 y3 z3 = 0.” is broken down into a number of easy to follow steps, and 88 words. This textbook survival guide was created for the textbook: Linear Algebra: A Geometric Approach, edition: 2. This full solution covers the following key subjects: . This expansive textbook survival guide covers 31 chapters, and 547 solutions. Since the solution to 13 from 5.2 chapter was answered, more than 211 students have viewed the full step-by-step answer.

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a. Show that if (x1, y1) and (x2, y2) are distinct points in R2, then the unique line