Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
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

Ch. 11 - A particle is located at a point described by the...Ch. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - A particle of mass m moves in the xy plane with a...Ch. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Review. A conical pendulum consists of a bob of...Ch. 11 - A particle of mass m moves in a circle of radius R...Ch. 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 - A uniform solid sphere of radius r = 0.500 m and...Ch. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - Big Ben (Fig. P10.27, page 281), the Parliament...Ch. 11 - Model the Earth as a uniform sphere. (a) Calculate...Ch. 11 - The distance between the centers of the wheels of...Ch. 11 - You are working in an observatory, taking data on...Ch. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - Prob. 24PCh. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 26PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Why is the following situation impossible? A space...Ch. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - A 0.005 00-kg bullet traveling horizontally with a...Ch. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Review. A thin, uniform, rectangular signboard...Ch. 11 - Prob. 34APCh. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 36APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Review. Two boys are sliding toward each other on...Ch. 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 - Two children are playing on stools at a restaurant...Ch. 11 - You are attending a county fair with your friend...Ch. 11 - A uniform rod of mass 300 g and length 50.0 cm...Ch. 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 - You operate a restaurant that has many large,...Ch. 11 - A solid cube of wood of side 2a and mass M is...Ch. 11 - In Example 11.8, we investigated an elastic...Ch. 11 - Prob. 50CP
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