Explanation Approach: Here, R, F L, B, T and U denotes the rotation of the Rubik’s cube 90 ∘ clockwise to the right, front, left, back, top, and under faces, respectively. The 90 ∘ clockwise rotation position of Rubik’s cube of R, F L, B, T and U is given below. Convert the Rubik’s cube into standard position by making the given rotation in reverse order and reverse direction. Calculation: The given rotation is F B − 1 . It denotes the rotation of the Rubik’s cube front face 90 ∘ clockwise and then rotates back face 90 ∘ anticlockwise. Here F − 1 and B − 1 denotes the rotation of the Rubik’s cube 90 ∘ anticlockwise to the front and back face

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of …

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Chapter 12.4, Problem 48PS

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The move or moves for return Rubik’s cube to standard position, after making the move FB−1.

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Chapter 12.4, Problem 47PS

Chapter 12.4, Problem 49PS

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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.

Chapter 12 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 12.1 - IN YOUR OWN WORDS What is a permutation? What is...Ch. 12.1 - Prob. 2PS Ch. 12.1 - Prob. 3PS Ch. 12.1 - Prob. 4PS Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P2 Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P3 Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P4 Ch. 12.1 - Prob. 8PS Ch. 12.1 - Evaluate each expression in Problems 3-32. 52P3 Ch. 12.1 - Evaluate each expression in Problems 3-32. 4P4

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To name: The move or moves for return Rubik’s cube to standard position, after making the move F B − 1 .

Solution Summary: The author explains how the move BF-1 makes the Rubik's cube into standard position.

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To name:

The move or moves for return Rubik’s cube to standard position, after making the move FB−1.

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Chapter 12 Solutions

To name: The move or moves for return Rubik’s cube to standard position, after making the move F B − 1 .

Solution Summary: The author explains how the move BF-1 makes the Rubik's cube into standard position.

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To name: The move or moves for return Rubik’s cube to standard position, after making the move FB−1.

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Chapter 12 Solutions

To name:

The move or moves for return Rubik’s cube to standard position, after making the move FB−1.