University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 1, Problem 1.19DQ
To determine
The cross and the dot product of vector
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given the position vectors r=(3,2,1) and r=(2,4,3),
(a) Find a unit vector parallel to the resultant of the vectors, r1 and r2
(b) Find the angle between the vectors, r1 and r2, using the first the scalar product and thenm confirm your result with the cross product
b) Consider two vectors ä = î - 2] + 3k, and b = 3î - 2zj + 5k, where z is a scalar.
vector & such that 3ä
4b-2c = 0.
Is the dot product of two vectors u and v is another vector represented by:
u* v=1V₁, U2V2, U3V3, ..
Un)
Chapter 1 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (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. 1.17DQCh. 1 - If A and B are nonzero vectors, is it possible for...Ch. 1 - Prob. 1.19DQCh. 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. 1.22DQCh. 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. 1.25DQCh. 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. 1.2ECh. 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. 1.7ECh. 1 - Prob. 1.8ECh. 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. 1.15ECh. 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. 1.29ECh. 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. 1.40ECh. 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. 1.49PCh. 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. 1.56PCh. 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. 1.82PCh. 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. 1.86PCh. 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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