University Physics with Modern Physics (14th Edition)

14th Edition

ISBN: 9780321973610

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Textbook Question

Chapter 1, Problem 1.24DQ

Show that, no matter what A → and B → are, A → ⋅ ( A → × B → ) = 0 . (Hint: Do not look for an elaborate mathematical proof. Consider the definition of the direction of the cross product.)

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Chapter 1, Problem 1.23DQ

Chapter 1, Problem 1.25DQ

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Chapter 1 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 1.5 - The density of a material is equal to its mass...Ch. 1.6 - Can you estimate the total number of teeth in the...Ch. 1.7 - Two displacement vectors, S and T have magnitudes...Ch. 1.8 - Two vectors A and B lie in the xy-plane. (a) Can A...Ch. 1.9 - Arrange the following vectors in order of their...Ch. 1.10 - Vector A has magnitude 2 and vector B has...Ch. 1 - How many correct experiments do we need to...Ch. 1 - Suppose you are asked to compute the tangent of...Ch. 1 - What is your height in centimeters? What is your...Ch. 1 - The U.S. National Institute of Standards and...

Ch. 1 - What physical phenomena (other than a pendulum or...Ch. 1 - Describe how you could measure the thickness of a...Ch. 1 - The quantity = 3.14159... is a number with no...Ch. 1 - What are the units of volume? Suppose another...Ch. 1 - Three archers each fire four arrows at a target....Ch. 1 - Is the vector (i+j+k) a unit vector? Is the vector...Ch. 1 - A circular racetrack has a radius of 500 m. What...Ch. 1 - Can you find two vectors with different lengths...Ch. 1 - The direction of time is said to proceed from past...Ch. 1 - Air traffic controllers give instructions called...Ch. 1 - Can you find a vector quantity that has a...Ch. 1 - (a) Does it make sense to say that a vector is...Ch. 1 - Prob. 1.17DQ Ch. 1 - If A and B are nonzero vectors, is it possible for...Ch. 1 - Prob. 1.19DQ Ch. 1 - Let A represent any nonzero vector. Why is A/A a...Ch. 1 - Figure 1.7 shows the result of an unacceptable...Ch. 1 - Prob. 1.22DQ Ch. 1 - Consider the vector products A (B C) and (AB)C....Ch. 1 - Show that, no matter what A and B are, A(AB)=0....Ch. 1 - Prob. 1.25DQ Ch. 1 - If A=0 for a vector in the xy-plane, does it...Ch. 1 - Starting with the definition 1 in. = 2.54 cm, find...Ch. 1 - Prob. 1.2E Ch. 1 - How many nanoseconds does it take light to travel...Ch. 1 - The density of gold is 19.3 g/cm3. What is this...Ch. 1 - The most powerful engine available for the classic...Ch. 1 - A square field measuring 100.0 m by 100.0 m has an...Ch. 1 - Prob. 1.7E Ch. 1 - Prob. 1.8E Ch. 1 - A certain fuel-efficient hybrid car gets gasoline...Ch. 1 - The following conversions occur frequently in...Ch. 1 - Neptunium. In the fall of 2002, scientists at Los...Ch. 1 - BIO (a) The recommended daily allowance (RDA) of...Ch. 1 - BIO Bacteria. Bacteria vary in size, but a...Ch. 1 - With a wooden ruler, you measure the length of a...Ch. 1 - Prob. 1.15E Ch. 1 - Express each approximation of to six significant...Ch. 1 - BIO A rather ordinary middle-aged man is in the...Ch. 1 - How many gallons of gasoline are used in the...Ch. 1 - BIO How many times does a typical person blink her...Ch. 1 - BIO Four astronauts are in a spherical space...Ch. 1 - In Wagners opera Das Rheingold, the goddess Freia...Ch. 1 - BIO How many times does a human heart beat during...Ch. 1 - You are using water to dilute small amounts of...Ch. 1 - For the vectors A and B in Fig. E1.24, use a scale...Ch. 1 - A postal employee drives a delivery truck along...Ch. 1 - A spelunker is surveying a cave. She follows a...Ch. 1 - Compute the x- and y-components of the vectors...Ch. 1 - Let be the angle that the vector A makes with the...Ch. 1 - Prob. 1.29E Ch. 1 - Vector A is in the direction 34.0 clockwise from...Ch. 1 - For the vectors A and B in Fig. E1.24, use the...Ch. 1 - A postal employee drives a delivery truck over the...Ch. 1 - A disoriented physics professor drives 3.25 km...Ch. 1 - Find the magnitude and direction of the vector...Ch. 1 - Vector A is 2.80 cm long and is 60.0 above the...Ch. 1 - In each case, find the x- and y-components of...Ch. 1 - Write each vector in Fig. E1.24 in terms of the...Ch. 1 - Given two vectors A=4.00i+7.00j and B=5.00i2.00j,...Ch. 1 - (a) Write each vector in Fig. E1.39 in terms of...Ch. 1 - Prob. 1.40E Ch. 1 - Given two vectors A=2.00i+3.00j+4.00k and...Ch. 1 - (a) Find the scalar product of the vectors A and B...Ch. 1 - For the vectors A,B and C in Fig. E1.24, find the...Ch. 1 - Find the vector product AB (expressed in unit...Ch. 1 - Find the angle between each of these pairs of...Ch. 1 - For the two vectors in Fig. E1.35, find the...Ch. 1 - For the two vectors A and D in Fig. E1.24, find...Ch. 1 - For the two vectors A and B in Fig. E1.39, find...Ch. 1 - Prob. 1.49P Ch. 1 - An acre has a length of one furlong (18 mi) and a...Ch. 1 - An Earthlike Planet. In January 2006 astronomers...Ch. 1 - The Hydrogen Maser. A maser is a laser-type device...Ch. 1 - BIO Breathing Oxygen. The density of air under...Ch. 1 - A rectangular piece of aluminum is 7.60 0.01 cm...Ch. 1 - As you eat your way through a bag of chocolate...Ch. 1 - Prob. 1.56P Ch. 1 - BIO Estimate the number of atoms in your body....Ch. 1 - Two ropes in a vertical plane exert...Ch. 1 - Two workers pull horizontally on a heavy box, but...Ch. 1 - Three horizontal ropes pull on a large stone stuck...Ch. 1 - As noted in Exercise 1.26, a spelunker is...Ch. 1 - Emergency Landing. A plane leaves the airport in...Ch. 1 - BIO Dislocated Shoulder. A patient with a...Ch. 1 - A sailor in a small sailboat encounters shifting...Ch. 1 - You leave the airport in College Station and fly...Ch. 1 - On a training flight, a student pilot flies from...Ch. 1 - As a test of orienteering skills, your physics...Ch. 1 - Getting Back. An explorer in Antarctica leaves his...Ch. 1 - You are lost at night in a large, open field. Your...Ch. 1 - A ship leaves the island of Guam and sails 285 km...Ch. 1 - BIO Bones and Muscles. A physical therapy patient...Ch. 1 - You decide to go to your favorite neighborhood...Ch. 1 - While following a treasure map, you start at an...Ch. 1 - A fence post is 52.0 m from where you are...Ch. 1 - A dog in an open field runs 12.0 m cast and then...Ch. 1 - Ricardo and Jane are standing under a tree in the...Ch. 1 - You are camping with Joe and Karl. Since all three...Ch. 1 - Bond Angle in Methane. In the methane molecule,...Ch. 1 - Vectors A and B have scalar product 6.00, and...Ch. 1 - A cube is placed so that one corner is at the...Ch. 1 - Vector A has magnitude 12.0 m, and vector B has...Ch. 1 - Prob. 1.82P Ch. 1 - The scalar product of vectors A and B is +48.0 m2....Ch. 1 - Two vectors A and B have magnitudes A = 3.00 and B...Ch. 1 - You are given vectors A=5.0i6.5j and 3.5i7.0j. A...Ch. 1 - Prob. 1.86P Ch. 1 - DATA You are a team leader at a pharmaceutical...Ch. 1 - DATA You are a mechanical engineer working for a...Ch. 1 - DATA Navigating in the Solar System. The Mars...Ch. 1 - Completed Pass. The football team at Enormous...Ch. 1 - Navigating in the Big Dipper. All of the stars of...Ch. 1 - BIO CALCULATING LUNG VOLUME IN HUMANS. In humans,...Ch. 1 - BIO CALCULATING LUNG VOLUME IN HUMANS. In humans,...Ch. 1 - Individuals vary considerably in total lung...

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Show that, no matter what A → and B → are, A → ⋅ ( A → × B → ) = 0 . ( Hint: Do not look for an elaborate mathematical proof. Consider the definition of the direction of the cross product.)

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Chapter 1 Solutions

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