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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Question
Chapter 1, Problem 1.40E
(a)
To determine
The direction of vector
(b)
To determine
The direction of vector
(c)
To determine
The direction of vector
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Two vectors are given by ?→=10?̂ +1.4?̂�→=10�̂+1.4�̂ and ?→=1.7?̂ +2.0?̂�→=1.7�̂+2.0�̂. Find (a)|||?→×?→||||�→×�→|, (b)?→⋅?→�→⋅�→, (c)(?→+?→)⋅?→(�→+�→)⋅�→, and (d) the component of ?→�→ along the direction of ?→�→?
Let vectors A⃗=(2,−4)
A
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2
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−
4
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and B⃗=(−3,1)
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.
Calculate the following:
What is the angle θAB
θ
A
B
between A⃗
A
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and B⃗
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?
The vector product of vectors A → and B → has magnitude 12.0 m2m2 and is in the +z+-direction. Vector A → has magnitude 4.0 mm and is in the −x− -direction. Vector B → has no x-component. What is the directional angle θ of vector B → in the xy-plane measured counterclockwise from the +x+ -direction?
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...
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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. 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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. 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