Physics for Scientists and Engineers With Modern Physics
Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 11.1, Problem 11.1QQ

Which of the following statements about the relationship between the magnitude of the cross product of two vectors and the product of the magnitudes of the vectors is true? (a) | A × B | is larger than AB. (b) | A × B | is smaller than AB. (c) | A × B | could be larger or smaller than AB, depending on the angle between the vectors. (d) | A × B | could he equal to AB.

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Which of the following statements is true about the relation- ship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) A · Bis larger than AB. (b) A · Bis smaller than AB. (c) A · B could be larger or smaller than AB, depending on the angle between the vectors. (d) A · B could be equal to AB.
Two vectors are given by A = 4 î + 7 j and B = -6 î + 2 j. (a) Find A x B. (b) Find the angle between A and B Part 1 of 4 - Conceptualize A is in the first quadrant and B is in the second quadrant of the xy plane. The cross product A x B points along the positive z axis. We estimate the magnitude of this cross product to be less than the product of the magnitudes of the vectors. Part 2 of 4 - Categorize We express the cross product A x B in determinant form and evaluate the determinant. Then we use the magnitude of the cross product AB sin 0 to find 0. The cross product of the two vectors A and B can be expressed in determinant form. î x B 4 (a) Evaluating the determinant gives the following. Remember to keep track of the signs! o) + 3(0 – A x B =
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Chapter 11 Solutions

Physics for Scientists and Engineers With Modern Physics

Ch. 11 - Prob. 7OQCh. 11 - Prob. 8OQCh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - In some motorcycle races, the riders drive over...Ch. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQCh. 11 - Prob. 11CQCh. 11 - Prob. 1PCh. 11 - The displacement vectors 42.0 cm at 15.0 and 23.0...Ch. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - A particle is located at a point described by the...Ch. 11 - Two forces F1 and F2 act along the two sides of an...Ch. 11 - A student claims that he has found a vector A such...Ch. 11 - Prob. 11PCh. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - Prob. 13PCh. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Prob. 16PCh. 11 - A particle of mass m moves in a circle of radius R...Ch. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - A 5.00-kg particle starts from the origin at time...Ch. 11 - A ball having mass m is fastened at the end of a...Ch. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Prob. 26PCh. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - Prob. 34PCh. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 36PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Prob. 38PCh. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Prob. 45APCh. 11 - Prob. 46APCh. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 48APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Prob. 50APCh. 11 - Prob. 51APCh. 11 - Two children are playing on stools at a restaurant...Ch. 11 - Prob. 53APCh. 11 - Prob. 54APCh. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Native people throughout North and South America...Ch. 11 - Prob. 58APCh. 11 - Global warming is a cause for concern because even...Ch. 11 - The puck in Figure P11.46 has a mass of 0.120 kg....Ch. 11 - Prob. 61CPCh. 11 - Prob. 62CPCh. 11 - Prob. 63CPCh. 11 - A solid cube of wood of side 2a and mass M is...
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