Essential University Physics Volume 1, Loose Leaf Edition (4th Edition)
4th Edition
ISBN: 9780135264669
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 11, Problem 46P
Find the angle between two vectors whose dot product is twice the magnitude of their cross product.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Given the force vector 2i+4j-1k and the position vector 3i-1j+2k find the cross product of the two and the angle between the vectors.
(b) A particle moves from position A to position B in the following Cartesian
coordinate system. (Not drawn to scale)
(i)
B
9
Z
-6
Fig Q1b
Find the displacement vector AB.
9
A
(ii) Using dot product, find the angle that the displacement vector AB make
with the x axis.
Given M = î + 5 j - 6 k and N = 2 î - 2 j - 3 k, calculate the vector product M × N.
Î +
+
Chapter 11 Solutions
Essential University Physics Volume 1, Loose Leaf Edition (4th Edition)
Ch. 11.1 - Youre standing on the sidewalk watching a car go...Ch. 11.2 - The figure shows four pairs of force and radius...Ch. 11.3 - The figure shows three particles with the same...Ch. 11.4 - You step onto an initially nonrotating turntable...Ch. 11.5 - You push horizontally at right angles to the shaft...Ch. 11 - Does Earths angular velocity vector point north or...Ch. 11 - Figure 11.12 shows four forces acting on a body....Ch. 11 - You stand with your right arm extended...Ch. 11 - Although it contains no parentheses, the...Ch. 11 - Whats the angle between two vectors if their dot...
Ch. 11 - Why does a tetherball move faster as it winds up...Ch. 11 - Why do helicopters have two rotors?Ch. 11 - A group of polar bears is standing around the edge...Ch. 11 - Tornadoes in the northern hemisphere rotate...Ch. 11 - Does a particle moving at constant speed in a...Ch. 11 - When you turn on a high-speed power tool such as a...Ch. 11 - Why is it easier to balance a basketball on your...Ch. 11 - A bug, initially at rest on a stationary,...Ch. 11 - If you increase the rotation rate of a precessing...Ch. 11 - A car is headed north at 70 km/h. Give the...Ch. 11 - If the car of Exercise 15 makes a 90 left turn...Ch. 11 - A wheel is spinning at 45 rpm with its axis...Ch. 11 - A wheel is spinning about a horizontal axis with...Ch. 11 - A 12-N force is applied at the point x = 3 m, y =...Ch. 11 - A force F=1.3i+2.7jN is applied at the point x =...Ch. 11 - When you hold your arm outstretched, its supported...Ch. 11 - Express the units of angular momentum (a) using...Ch. 11 - In the Olympic hammer throw, a contestant whirls a...Ch. 11 - A gymnast of rotational inertia 62 kg m2 is...Ch. 11 - A 640-g hoop 90 cm in diameter is rotating at 170...Ch. 11 - A 7.4-cm-diameter baseball has mass 145 g and is...Ch. 11 - A potters wheel with rotational inertia 6.40 kg ...Ch. 11 - A 3.0-m-diametcr merry-go-round with rotational...Ch. 11 - A uniform, spherical cloud of interstellar gas has...Ch. 11 - A skater has rotational inertia 4.2 kg m2 with...Ch. 11 - You slip a wrench over a bolt. Taking the origin...Ch. 11 - Vector A points 30 counterclockwise from the...Ch. 11 - A baseball player extends his arm straight up to...Ch. 11 - Prob. 34PCh. 11 - A weightlifters barbell consists of two 25-kg...Ch. 11 - Prob. 36PCh. 11 - Two identical 1800-kg cars are traveling in...Ch. 11 - The dot product of two vectors is half the...Ch. 11 - Biomechanical engineers have developed...Ch. 11 - Figure 11.15 shows the dimensions of a 880-g...Ch. 11 - As an automotive engineer, youre charged with...Ch. 11 - A turntable of radius 25 cm and rotational inertia...Ch. 11 - A 17-kg dog is standing on the edge of a...Ch. 11 - A physics student is standing on an initially...Ch. 11 - Youre choreographing your schools annual ice show....Ch. 11 - Find the angle between two vectors whose dot...Ch. 11 - A circular bird feeder 19 cm in radius has...Ch. 11 - A force F applied at the point x = 2.0 m, y = 0 m...Ch. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Jumbo is back! Jumbo is the 4.8-Mg elephant from...Ch. 11 - An anemometer for measuring wind speeds consists...Ch. 11 - A turntable has rotational inertia I and is...Ch. 11 - A uniform, solid, spherical asteroid with mass 1.2...Ch. 11 - About 99.9% of the solar systems total mass lies...Ch. 11 - Youre a civil engineer for an advanced...Ch. 11 - In Fig. 11.18, the lower disk, of mass 440 g and...Ch. 11 - A massless spring with constant k is mounted on a...Ch. 11 - A solid ball of mass M and radius R is spinning...Ch. 11 - A time-dependent torque given by = a + b sin ct...Ch. 11 - Consider a rapidly spinning gyroscope whose axis...Ch. 11 - When a star like our Sun exhausts its fuel,...Ch. 11 - Pulsarsthe rapidly rotating neutron stars...Ch. 11 - Prob. 64PCh. 11 - Figure 11.22 shows a demonstration gyroscope,...Ch. 11 - Figure 11.22 shows a demonstration gyroscope,...Ch. 11 - Figure 11.22 shows a demonstration gyroscope,...Ch. 11 - Figure 11.22 shows a demonstration gyroscope,...
Additional Science Textbook Solutions
Find more solutions based on key concepts
WHAT IF? For each theme discussed in this section give an example not mentioned in the text
Campbell Biology in Focus (2nd Edition)
The number of named species is about __________, but the actual number of species on Earth is estimated to be a...
Biology: Life on Earth (11th Edition)
Endospore formation is called (a) _____. It is initiated by (b) _____. Formation of a new cell from an endospor...
Microbiology: An Introduction
Which of the following statements about the general functions of the nervous system is false?
The three primary...
Human Anatomy & Physiology (2nd Edition)
8. A human maintaining a vegan diet (containing no animal products) would be a:
a. producer
b. primary consume...
Human Biology: Concepts and Current Issues (8th Edition)
DRAW IT In human spermatogenesis, mitosis of a stem cell gives rise to one cell that remains a stem cell and on...
Campbell Biology (11th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .arrow_forwardWhich of the following statements is true about the relationship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) AB is larger than AB. (b) AB is smaller than AB. (c) AB could be larger or smaller than AB, depending on the angle between the vectors. (d) AB could be equal to AB.arrow_forwardGiven a vector A=4.5+4.5j and a vector B=4.5+4.5j, determine the magnitude of the cross product of these two vectors, AB. Hint: Make a sketch of both vectors including a coordinate system.arrow_forward
- Hi! I need help with finding the cross product of 2 vectors with only an i and a j but no z/k, can you please help? everywhere ive looked for help always has a z/k component and i dont know how to figure that outarrow_forwardAA BB The cross product of and vectors was shown by vector. Please calculate the A = 2i – j+ 2k B = 3i + 4j – k vector. a) č = Ã×B =?arrow_forwardFind the angle between the vectors u = -i- 5j and v = 4i + 6j – 4k. The angle between the vectors is 0x radians.arrow_forward
- Question 5 unts Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k ... The cross product of MxN equals Choose the best answer. A -9i -7j +3k В 21i +13j +3k 9i +7j -3k 13 E No Answerarrow_forwardDETAILSarrow_forward1. Find the dot product of A and B. 2. Find the magnitude of the cross product of A and B. 3. Given with three vectors,A = 6 m, 60 deg N of E,B = -5i + 2j mC = 7 m, SFind (A · B)C - A · (B x C)arrow_forward
- Which of the following are true if two vectors are equal? Select as many. I. Their magnitudes are equal II. They point in the same direction III. Their dot product is equal to the product of their magnitudes IV. Their cross product is zeroarrow_forwardConsider the two vectors A= 12i + 5j and B = -3i. What is the cross product Ax B? O51 k none of the answers -15k O 15 j 15 k O.51 k -21 O 21 k -51arrow_forwardQ1: A: Given the vectors a=i-2 j+3k and b=-2i+3j-k, show that the cross product ax b is orthogonal to both a and b MB: Find the cross product of the given two vectors X=i+6j+2k and Y-2i+j+3k. je cjeni iz na to Guzme cousin (E)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Work-Energy Theorem | Physics Animation; Author: EarthPen;https://www.youtube.com/watch?v=GSTW7Mlaoas;License: Standard YouTube License, CC-BY