×
Get Full Access to University Physics - 13 Edition - Chapter 1 - Problem 91p
Get Full Access to University Physics - 13 Edition - Chapter 1 - Problem 91p

×

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

ISBN: 9780321675460 31

## Solution for problem 91P Chapter 1

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

University Physics | 13th Edition

4 5 1 334 Reviews
11
5
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

Step 4 of 4

##### 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 1131 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.

#### Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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