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A cube is placed so that one corner is at the origin and

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 91P Chapter 1

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 91P

A cube is placed so that one corner is at the origin and three edges are along the ?x -, y -, and ?z -axes of a coordinate system (Fig. P1.80). Use vectors to compute (a) the angle be-tween the edge along the ?z -axis (line ?ab?) and the diagonal from the origin to the opposite corner (line ?ad?), and (b) the angle between line a? c? (the diagonal of a face) and line ?ad?.

Step-by-Step Solution:

Solution 91P Step 1: Suppose, the side of the cube as “a” units. Then, the magnitude of vector ab = a The side bc = cd = a Since the face bcda is a square, the length bd will be, 2 2 2 2 bd = c + cd = a +a = 2a Step 2: According to the law of vector addition, ad = ab + bd The magnitude of vector ad will be, 2 2 2 2 ad = ab + bd + (2 × ab × bd × cos ) = + 2a = 3a = 90° since ab and bd are perpendicular. Cos 90 = 0

Step 3 of 4

Chapter 1, Problem 91P is Solved
Step 4 of 4

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 91P from 1 chapter was answered, more than 905 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 91P from chapter: 1 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: line, along, origin, angle, diagonal. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “A cube is placed so that one corner is at the origin and three edges are along the ?x -, y -, and ?z -axes of a coordinate system (Fig. P1.80). Use vectors to compute (a) the angle be-tween the edge along the ?z -axis (line ?ab?) and the diagonal from the origin to the opposite corner (line ?ad?), and (b) the angle between line a? c? (the diagonal of a face) and line ?ad?.” is broken down into a number of easy to follow steps, and 75 words.

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