Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

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Chapter 1.4, Problem 22E

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Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Answer 2

Question

Chapter 1.4, Problem 22E

To determine

To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

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Answer 3

Question

Chapter 1.4, Problem 22E

To determine

To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

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Answer 4

Question

Chapter 1.4, Problem 22E

To determine

To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

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Answer 5

Chapter 1.4, Problem 22E

To determine

To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

Answer 6

Chapter 1.4, Problem 22E

To determine

To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

Answer 7

Chapter 1.4, Problem 22E

To determine

To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

Solution Summary: The author explains that it is possible to have three distinct points, not on the same line, using the axioms in four-point geometry.

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To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

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Chapter 1 Solutions

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

Solution Summary: The author explains that it is possible to have three distinct points, not on the same line, using the axioms in four-point geometry.

Videos

To explain: Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.

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Chapter 1 Solutions

To explain:

Whether it is possible to have three distinct points, not on the same line, such that a line pass through each pair of points using the axioms in four-point geometry.